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An electric egg boiler of 100 ohm and electric heater of resistance 150 oh and then iron of resistance 450 are connected in parallel to a to 20 volt source what is the resistance of an electric toaster connected to the same source that consumes as much as current as all three appliances also calculate the current flowing through it?
Verified Answer
An electric egg boiler of 100 ohm and electric heater of resistance 15...
The resistance of the electric toaster connected to the same source is 100 ohms. The current flowing through it can be calculated as follows:
I = P/V = (20 V) / (100 + 150 + 450) = 0.09A
Therefore, the current flowing through it is 0.09 A.
I = P/V = (20 V) / (100 + 150 + 450) = 0.09A
Therefore, the current flowing through it is 0.09 A.
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Most Upvoted Answer
An electric egg boiler of 100 ohm and electric heater of resistance 15...
Given:
- Resistance of electric egg boiler = 100 ohm
- Resistance of electric heater = 150 ohm
- Resistance of iron = 450 ohm
- All three appliances are connected in parallel to a 20 volt source
To find:
- Resistance of the electric toaster connected to the same source that consumes as much current as all three appliances
- Current flowing through the electric toaster
Calculation:
1. Equivalent resistance of the parallel combination:
When resistors are connected in parallel, the reciprocal of the equivalent resistance is equal to the sum of the reciprocals of the individual resistances.
The equivalent resistance (R_eq) can be calculated using the formula:
1/R_eq = 1/R1 + 1/R2 + 1/R3
Given resistances:
R1 = 100 ohm (electric egg boiler)
R2 = 150 ohm (electric heater)
R3 = 450 ohm (iron)
Substituting the values:
1/R_eq = 1/100 + 1/150 + 1/450
Taking the reciprocal on both sides:
R_eq = 1/(1/100 + 1/150 + 1/450)
Calculating the value of R_eq:
R_eq = 33.33 ohm (approximately)
Therefore, the equivalent resistance of the electric egg boiler, electric heater, and iron connected in parallel is approximately 33.33 ohm.
2. Resistance of the electric toaster:
The electric toaster is connected to the same source and consumes the same current as the three appliances.
Since the electric toaster consumes the same current, it means that the equivalent resistance of the toaster should be equal to the equivalent resistance of the three appliances.
Therefore, the resistance of the electric toaster connected to the same source is also 33.33 ohm.
3. Current flowing through the electric toaster:
Using Ohm's Law, we can calculate the current flowing through the electric toaster.
Ohm's Law states that the current (I) flowing through a circuit is equal to the voltage (V) across the circuit divided by the resistance (R) of the circuit.
Mathematically, I = V/R
Given:
Voltage (V) = 20 volts
Resistance (R) = 33.33 ohm
Substituting the values:
I = 20/33.33
Calculating the value of I:
I = 0.6 Amperes (approximately)
Therefore, the current flowing through the electric toaster connected to the 20 volt source is approximately 0.6 Amperes.
- Resistance of electric egg boiler = 100 ohm
- Resistance of electric heater = 150 ohm
- Resistance of iron = 450 ohm
- All three appliances are connected in parallel to a 20 volt source
To find:
- Resistance of the electric toaster connected to the same source that consumes as much current as all three appliances
- Current flowing through the electric toaster
Calculation:
1. Equivalent resistance of the parallel combination:
When resistors are connected in parallel, the reciprocal of the equivalent resistance is equal to the sum of the reciprocals of the individual resistances.
The equivalent resistance (R_eq) can be calculated using the formula:
1/R_eq = 1/R1 + 1/R2 + 1/R3
Given resistances:
R1 = 100 ohm (electric egg boiler)
R2 = 150 ohm (electric heater)
R3 = 450 ohm (iron)
Substituting the values:
1/R_eq = 1/100 + 1/150 + 1/450
Taking the reciprocal on both sides:
R_eq = 1/(1/100 + 1/150 + 1/450)
Calculating the value of R_eq:
R_eq = 33.33 ohm (approximately)
Therefore, the equivalent resistance of the electric egg boiler, electric heater, and iron connected in parallel is approximately 33.33 ohm.
2. Resistance of the electric toaster:
The electric toaster is connected to the same source and consumes the same current as the three appliances.
Since the electric toaster consumes the same current, it means that the equivalent resistance of the toaster should be equal to the equivalent resistance of the three appliances.
Therefore, the resistance of the electric toaster connected to the same source is also 33.33 ohm.
3. Current flowing through the electric toaster:
Using Ohm's Law, we can calculate the current flowing through the electric toaster.
Ohm's Law states that the current (I) flowing through a circuit is equal to the voltage (V) across the circuit divided by the resistance (R) of the circuit.
Mathematically, I = V/R
Given:
Voltage (V) = 20 volts
Resistance (R) = 33.33 ohm
Substituting the values:
I = 20/33.33
Calculating the value of I:
I = 0.6 Amperes (approximately)
Therefore, the current flowing through the electric toaster connected to the 20 volt source is approximately 0.6 Amperes.
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An electric egg boiler of 100 ohm and electric heater of resistance 150 oh and then iron of resistance 450 are connected in parallel to a to 20 volt source what is the resistance of an electric toaster connected to the same source that consumes as much as current as all three appliances also calculate the current flowing through it?
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An electric egg boiler of 100 ohm and electric heater of resistance 150 oh and then iron of resistance 450 are connected in parallel to a to 20 volt source what is the resistance of an electric toaster connected to the same source that consumes as much as current as all three appliances also calculate the current flowing through it? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about An electric egg boiler of 100 ohm and electric heater of resistance 150 oh and then iron of resistance 450 are connected in parallel to a to 20 volt source what is the resistance of an electric toaster connected to the same source that consumes as much as current as all three appliances also calculate the current flowing through it? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An electric egg boiler of 100 ohm and electric heater of resistance 150 oh and then iron of resistance 450 are connected in parallel to a to 20 volt source what is the resistance of an electric toaster connected to the same source that consumes as much as current as all three appliances also calculate the current flowing through it?.
An electric egg boiler of 100 ohm and electric heater of resistance 150 oh and then iron of resistance 450 are connected in parallel to a to 20 volt source what is the resistance of an electric toaster connected to the same source that consumes as much as current as all three appliances also calculate the current flowing through it? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about An electric egg boiler of 100 ohm and electric heater of resistance 150 oh and then iron of resistance 450 are connected in parallel to a to 20 volt source what is the resistance of an electric toaster connected to the same source that consumes as much as current as all three appliances also calculate the current flowing through it? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An electric egg boiler of 100 ohm and electric heater of resistance 150 oh and then iron of resistance 450 are connected in parallel to a to 20 volt source what is the resistance of an electric toaster connected to the same source that consumes as much as current as all three appliances also calculate the current flowing through it?.
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