A potential difference of 40v is applied across a resistance of 8 for a period of 2 minutes. What current is drawn? Calculate the charge which passes through the resistor.
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Given :
Potential difference (V) = 40 V
Resistance (R) = 8 ohm
Time (T) = 2 min = 2×60 sec = 120 sec
To Find :
(a) Current
(b) Charge passed through the resistor
Solution :
(a) According to Ohm's Law,
Potential Difference (V) = Current (I) × Resistance (R)
or, Current (I) =
∴ Current (I) =
= 5 A
Hence, the current drawn is 5 A.
(b) Charge passing through the resistor (Q) = Current (I) × Time (T)
= 5 × 120
= 600 C
Therefore, the charge passing through the resistor in 2 min is 600 C.
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