Question

A thin conducting ring is ruptured when it is given a charge q. Consider another thin conducting ring, radius of which is n times and tensile strength is k times of the former ring. How much maximum charge can this second ring be given without rupturing?

• A. $<qnk$
• B. $<qn\sqrt{k}$
• C. $<q{n}^2\sqrt{k}$
• D. Insufficient information

Answer 1

The correct option is B $<qn\sqrt{k}$

Charge $=q$

we know that the hook law,

$F$ $\alpha$ $x^2$

or, $F=K{x}^2$

$\frac{1}{x}\alpha \sqrt{K}$

Now,

charge will be $=ng$ and the distance will be dependent with this,

$<\frac{nq}{x}$

$Q\le nq\sqrt{K}$

not greater than the value of $nq\sqrt{K}$