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How many 176 ohm resistor (in parallel) are required to carry 5 ampere on a 220 volt line?
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How many 176 ohm resistor (in parallel) are required to carry 5 ampere...
For x number of resistors of resistance 176 Ω,
Here Supply voltage, V = 220 V
Current, I = 5 A
Equivalent resistance of the combination = R, given as
∴four resistors of 176 Ω are required to draw the given amount of current.
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How many 176 ohm resistor (in parallel) are required to carry 5 ampere...
Calculating the Number of 176 ohm Resistors Required
To determine the number of 176 ohm resistors needed to carry 5 amperes on a 220 volt line, we can use the formula for calculating total resistance in a parallel circuit:
Total Resistance (R_total) = 1 / (1/R1 + 1/R2 + 1/R3 + ...)
Calculating the Resistance of a Single 176 ohm Resistor
Given a single 176 ohm resistor, the resistance value (R1) is 176 ohms.
Calculating the Total Resistance for the Circuit
Using the formula mentioned above, we can calculate the total resistance of the circuit. The voltage (V) is 220 volts, and the current (I) is 5 amperes.
R_total = V / I
R_total = 220 / 5
R_total = 44 ohms
Calculating the Number of Resistors Needed
Now, we can determine the number of 176 ohm resistors required to achieve a total resistance of 44 ohms in the circuit.
1 / (1/176) = 1 / R_total
1 / (1/176) = 1 / 44
1 / 0.005681818 = 1 / 44
176 = 44
Therefore, to carry 5 amperes on a 220 volt line, a total of 4 176 ohm resistors are required in parallel.
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How many 176 ohm resistor (in parallel) are required to carry 5 ampere on a 220 volt line?
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How many 176 ohm resistor (in parallel) are required to carry 5 ampere on a 220 volt line? 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 How many 176 ohm resistor (in parallel) are required to carry 5 ampere on a 220 volt line? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How many 176 ohm resistor (in parallel) are required to carry 5 ampere on a 220 volt line?.
How many 176 ohm resistor (in parallel) are required to carry 5 ampere on a 220 volt line? 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 How many 176 ohm resistor (in parallel) are required to carry 5 ampere on a 220 volt line? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How many 176 ohm resistor (in parallel) are required to carry 5 ampere on a 220 volt line?.
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