A battery of variable EMF of negligible resistance is connected to a wire with resistance of 3 Ω. Figure shows the potential difference across battery as function of time. The total charge transferred by the battery during two hours is :

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1500 C

1800 C

2000 C

2400 C

answer is B.

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Detailed Solution

V=1.5−1.52×3600ti=VR=1.53−131.52×3600t ∵i=dqdt⇒dq=i dt⇒∫dq=∫i dtq=∫idt=∫02×36001.53−131.52×3600tdt=1800C

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