How many resistors of 200ohm each are required in parallel
combination, so as to carry 5A on a 200V line supply?
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Answered by
89
Given:-
- Resistance of Resistor ,R = 200 ohm
- Current ,I = 5A
- Potential Difference ,V = 200v
To Find:-
- No. of Resistor ,n
Solution:-
Let the total no. resistors required be n
Firstly we calculate the equivalent resistance in Parallel.
• 1/Req = 1/R1 + .....
Substitute the value we get
➨ 1/Req = n × 1/200
➨ 1/Req = n/200
➨ Req = 200/n
Equivalent Resistance in Parallel 200/n ohms
now , Using ohms Law
• V = IR
where
v is the potential difference
I is the current
R is the Resistance
Substitute the value we get
➨ 200 = 5 × 200/n
➨ 200 ×n = 5×200
➨200× n = 1000
➨ n = 1000/200
➨ n = 5
Therefore, the number of required resistors are 5 .
Answered by
60
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