1.

One capacitor and ammeter connected in series are connected to an ideal battery. Reading of the ammeter is plotted against time. Which graph represents it the best?

Answer»




Solution :There is some resistance of ammeter and hence we can treat this CIRCUIT as STANDARD R-C circuit connected to a battery. Charge as a function of TIME in R-C circuit can be written as follows:
`q= q_(0) (1- e^(-t//tau))`
Here `tau` is time constant of the circuit, `tau= RC` On differentiating the charge will respect to time we can calculate current as a function of time
`i= (dq)/(dt) = q_(0) (0 + (1)/(tau) e^(-t//tau)) = (q_(0))/(tau) e^(-t//tau)`
`rArr i= i_(0) e^(-t//tau)`
There is an EXPONENTIAL decay of current and hence option a is correct


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