Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

Current Electricity

Question:

The charge flowing in a conductor varies with time as Q = at - bt2, then the current:

Options:

reaches a maximum and then decrease

falls to zero after t = $\frac{a}{2b}$

changes at a rate of (-2b)

both (2) and (3)

Correct Answer:

both (2) and (3)

Explanation:

According to question,

$\mathrm{Q}=\mathrm{at}-\mathrm{bt}^2 \Rightarrow \mathrm{i}=\frac{\mathrm{dQ}}{\mathrm{dt}}=\mathrm{a}-2 \mathrm{bt}$

$\mathrm{i}=0 \text { at } \mathrm{t}=\frac{\mathrm{a}}{2 \mathrm{b}}$

$\frac{\mathrm{di}}{\mathrm{dt}}=-2 \mathrm{b}$