4. If a capacitor is being charged through a resistor, the current in the resistor…
a. Increases
b. Decreases
c. Stays the same
Ans: (b) decreases.
Explanation:
Let the voltage source connected in the circuit is and the voltage across the capacitor is and the voltage across the resistor is
So,
So current through resistor,
Now initially the charge on the capacitor is zero so voltage drop across the capacitor is zero.
When when the capacitor is being charged, the voltage drop across this capacitor will increase. So, decreases which means decreases.
So , (b) current in the resistor decreases.
why other options are not correct:
As there is a certain voltage drop across capacitor at a particular time, the voltage drop at resistance will decrease that amount of voltage which is dropped across capacitor, it cannot be increased or remains same value so current will decrease.so the option (a) and (c) is incorrect.
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