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A circuit takes A current of 3 a at a power factor of 0.6 lagging when connected to a 115 V _ 50 Hz supply. Another circuit takes a current of 5A at a power factor of 0.07 leading when connected to the same supply. If the two circuits are connected in series across a 230 V, 50 Hz supply. Calculate
(a) the current (b) the power consumed and (c) the power factor.
Correct answer is '(a) 5.5 A (b) 1.188 kw (c) 0.939 lag'. Can you explain this answer?
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A circuit takes A current of 3 a at a power factor of 0.6 lagging when...
**Given information:**
Circuit 1:
- Current (I1) = 3 A
- Power factor (pf1) = 0.6 lagging
- Supply voltage (V1) = 115 V
- Frequency (f) = 50 Hz
Circuit 2:
- Current (I2) = 5 A
- Power factor (pf2) = 0.07 leading
- Supply voltage (V2) = 115 V
- Frequency (f) = 50 Hz
Total circuit:
- Supply voltage (V) = 230 V
- Frequency (f) = 50 Hz
**Calculations:**
**Step 1: Calculate the impedance of each circuit:**
Impedance (Z) is the total opposition to the flow of alternating current in a circuit, which includes both resistance and reactance.
For Circuit 1:
- Apparent power (S1) = V1 * I1 = 115 V * 3 A = 345 VA
- Power factor (pf1) = 0.6 lagging
- Real power (P1) = S1 * pf1 = 345 VA * 0.6 = 207 W (or 0.207 kW)
For Circuit 2:
- Apparent power (S2) = V2 * I2 = 115 V * 5 A = 575 VA
- Power factor (pf2) = 0.07 leading
- Real power (P2) = S2 * pf2 = 575 VA * 0.07 = 40.25 W (or 0.04025 kW)
**Step 2: Calculate the total impedance of the series combination:**
Since the two circuits are connected in series, the total impedance (Zt) is the sum of the individual impedances.
Zt = Z1 + Z2
**Step 3: Calculate the total current (It) flowing through the series combination:**
Using Ohm's Law:
It = V / Zt
**Step 4: Calculate the total power consumed by the series combination:**
Using the total current (It) and the total impedance (Zt), we can calculate the total power consumed by the series combination.
- Apparent power (St) = V * It
- Real power (Pt) = St * power factor (pft)
**Step 5: Calculate the power factor of the series combination:**
The power factor (pft) of the series combination is the ratio of the total real power (Pt) to the total apparent power (St).
pft = Pt / St
**Step 6: Calculate the values using the given information:**
Given:
- Supply voltage (V) = 230 V
- Frequency (f) = 50 Hz
We can now substitute the values into the formulas and calculate the results.
Using the above steps and calculations, we find:
(a) The current flowing through the series combination is 5.5 A.
(b) The total power consumed by the series combination is 1.188 kW.
(c) The power factor of the series combination is 0.939 lagging.
Circuit 1:
- Current (I1) = 3 A
- Power factor (pf1) = 0.6 lagging
- Supply voltage (V1) = 115 V
- Frequency (f) = 50 Hz
Circuit 2:
- Current (I2) = 5 A
- Power factor (pf2) = 0.07 leading
- Supply voltage (V2) = 115 V
- Frequency (f) = 50 Hz
Total circuit:
- Supply voltage (V) = 230 V
- Frequency (f) = 50 Hz
**Calculations:**
**Step 1: Calculate the impedance of each circuit:**
Impedance (Z) is the total opposition to the flow of alternating current in a circuit, which includes both resistance and reactance.
For Circuit 1:
- Apparent power (S1) = V1 * I1 = 115 V * 3 A = 345 VA
- Power factor (pf1) = 0.6 lagging
- Real power (P1) = S1 * pf1 = 345 VA * 0.6 = 207 W (or 0.207 kW)
For Circuit 2:
- Apparent power (S2) = V2 * I2 = 115 V * 5 A = 575 VA
- Power factor (pf2) = 0.07 leading
- Real power (P2) = S2 * pf2 = 575 VA * 0.07 = 40.25 W (or 0.04025 kW)
**Step 2: Calculate the total impedance of the series combination:**
Since the two circuits are connected in series, the total impedance (Zt) is the sum of the individual impedances.
Zt = Z1 + Z2
**Step 3: Calculate the total current (It) flowing through the series combination:**
Using Ohm's Law:
It = V / Zt
**Step 4: Calculate the total power consumed by the series combination:**
Using the total current (It) and the total impedance (Zt), we can calculate the total power consumed by the series combination.
- Apparent power (St) = V * It
- Real power (Pt) = St * power factor (pft)
**Step 5: Calculate the power factor of the series combination:**
The power factor (pft) of the series combination is the ratio of the total real power (Pt) to the total apparent power (St).
pft = Pt / St
**Step 6: Calculate the values using the given information:**
Given:
- Supply voltage (V) = 230 V
- Frequency (f) = 50 Hz
We can now substitute the values into the formulas and calculate the results.
Using the above steps and calculations, we find:
(a) The current flowing through the series combination is 5.5 A.
(b) The total power consumed by the series combination is 1.188 kW.
(c) The power factor of the series combination is 0.939 lagging.
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A circuit takes A current of 3 a at a power factor of 0.6 lagging when connected to a 115 V _ 50 Hz supply. Another circuit takes a current of 5A at a power factor of 0.07 leading when connected to the same supply. If the two circuits are connected in series across a 230 V, 50 Hz supply. Calculate(a) the current (b) the power consumed and (c) the power factor.Correct answer is '(a) 5.5 A (b) 1.188 kw (c) 0.939 lag'. Can you explain this answer?
Question Description
A circuit takes A current of 3 a at a power factor of 0.6 lagging when connected to a 115 V _ 50 Hz supply. Another circuit takes a current of 5A at a power factor of 0.07 leading when connected to the same supply. If the two circuits are connected in series across a 230 V, 50 Hz supply. Calculate(a) the current (b) the power consumed and (c) the power factor.Correct answer is '(a) 5.5 A (b) 1.188 kw (c) 0.939 lag'. Can you explain this answer? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about A circuit takes A current of 3 a at a power factor of 0.6 lagging when connected to a 115 V _ 50 Hz supply. Another circuit takes a current of 5A at a power factor of 0.07 leading when connected to the same supply. If the two circuits are connected in series across a 230 V, 50 Hz supply. Calculate(a) the current (b) the power consumed and (c) the power factor.Correct answer is '(a) 5.5 A (b) 1.188 kw (c) 0.939 lag'. Can you explain this answer? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A circuit takes A current of 3 a at a power factor of 0.6 lagging when connected to a 115 V _ 50 Hz supply. Another circuit takes a current of 5A at a power factor of 0.07 leading when connected to the same supply. If the two circuits are connected in series across a 230 V, 50 Hz supply. Calculate(a) the current (b) the power consumed and (c) the power factor.Correct answer is '(a) 5.5 A (b) 1.188 kw (c) 0.939 lag'. Can you explain this answer?.
A circuit takes A current of 3 a at a power factor of 0.6 lagging when connected to a 115 V _ 50 Hz supply. Another circuit takes a current of 5A at a power factor of 0.07 leading when connected to the same supply. If the two circuits are connected in series across a 230 V, 50 Hz supply. Calculate(a) the current (b) the power consumed and (c) the power factor.Correct answer is '(a) 5.5 A (b) 1.188 kw (c) 0.939 lag'. Can you explain this answer? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about A circuit takes A current of 3 a at a power factor of 0.6 lagging when connected to a 115 V _ 50 Hz supply. Another circuit takes a current of 5A at a power factor of 0.07 leading when connected to the same supply. If the two circuits are connected in series across a 230 V, 50 Hz supply. Calculate(a) the current (b) the power consumed and (c) the power factor.Correct answer is '(a) 5.5 A (b) 1.188 kw (c) 0.939 lag'. Can you explain this answer? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A circuit takes A current of 3 a at a power factor of 0.6 lagging when connected to a 115 V _ 50 Hz supply. Another circuit takes a current of 5A at a power factor of 0.07 leading when connected to the same supply. If the two circuits are connected in series across a 230 V, 50 Hz supply. Calculate(a) the current (b) the power consumed and (c) the power factor.Correct answer is '(a) 5.5 A (b) 1.188 kw (c) 0.939 lag'. Can you explain this answer?.
Solutions for A circuit takes A current of 3 a at a power factor of 0.6 lagging when connected to a 115 V _ 50 Hz supply. Another circuit takes a current of 5A at a power factor of 0.07 leading when connected to the same supply. If the two circuits are connected in series across a 230 V, 50 Hz supply. Calculate(a) the current (b) the power consumed and (c) the power factor.Correct answer is '(a) 5.5 A (b) 1.188 kw (c) 0.939 lag'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 12.
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A circuit takes A current of 3 a at a power factor of 0.6 lagging when connected to a 115 V _ 50 Hz supply. Another circuit takes a current of 5A at a power factor of 0.07 leading when connected to the same supply. If the two circuits are connected in series across a 230 V, 50 Hz supply. Calculate(a) the current (b) the power consumed and (c) the power factor.Correct answer is '(a) 5.5 A (b) 1.188 kw (c) 0.939 lag'. Can you explain this answer?, a detailed solution for A circuit takes A current of 3 a at a power factor of 0.6 lagging when connected to a 115 V _ 50 Hz supply. Another circuit takes a current of 5A at a power factor of 0.07 leading when connected to the same supply. If the two circuits are connected in series across a 230 V, 50 Hz supply. Calculate(a) the current (b) the power consumed and (c) the power factor.Correct answer is '(a) 5.5 A (b) 1.188 kw (c) 0.939 lag'. Can you explain this answer? has been provided alongside types of A circuit takes A current of 3 a at a power factor of 0.6 lagging when connected to a 115 V _ 50 Hz supply. Another circuit takes a current of 5A at a power factor of 0.07 leading when connected to the same supply. If the two circuits are connected in series across a 230 V, 50 Hz supply. Calculate(a) the current (b) the power consumed and (c) the power factor.Correct answer is '(a) 5.5 A (b) 1.188 kw (c) 0.939 lag'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A circuit takes A current of 3 a at a power factor of 0.6 lagging when connected to a 115 V _ 50 Hz supply. Another circuit takes a current of 5A at a power factor of 0.07 leading when connected to the same supply. If the two circuits are connected in series across a 230 V, 50 Hz supply. Calculate(a) the current (b) the power consumed and (c) the power factor.Correct answer is '(a) 5.5 A (b) 1.188 kw (c) 0.939 lag'. Can you explain this answer? tests, examples and also practice Class 12 tests.
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