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Another AP Physics C E&M Question

Question

Hello,

This question features a circuit with a resistor, an inductor, and a battery all connected in series. It then shows an increasing concave down graph of something vs. t - the graph started at the origin and had a horizontal asymptote at some positive value of x. The "something" could be:

A. The potential difference across the resistor

B. The potential difference across the inductor

and/or C. The current in the circuit.

I had reasoned that it would be all 3. When an inductor is first connected to a battery at time t=0, it doesn't allow electricity to flow, but as time goes on, it allows more and more electricity to flow until it is essentially acting like a wire. Therefore, current will increase, and voltage will also increase across the entire circuit. However, it turned out that B was incorrect, and I'm not sure why (I eventually received the answer to this question but not the explanation). Why is this the case?

Thank you!

 

 

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