keeping the potential difference constant ,the resistance of a circut is double .by how much does the current change?
Answers
Explanation:
Current become half because current inversely proportional to resistance
Answer:
Current is halved.
Explanation:
By Ohm's Law,
V = IR
where,
V - Potential Difference
I - Current
R - Resistance
Given,
V - Constant
Let the initial value of resistance be R. For this resistance, let the current in the circuit be .
Then, by Ohm's law,
V = IR ..............................................[1]
Now, when the resistance is doubled [R--> 2R], let the current in the circuit be ' .
By Ohm's law,
V = I'(2R)
=> V = 2I'R ..............................................[2]
From equations 1 and 2
Since LHS are equal, their RHS are also equal.
=> IR = 2I'R
Cancelling R from both sides,
=> I = 2I'
=> I' = I/2
Hence the current in the circuit is halved when the resistance is doubled under constant potential difference.
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