Question

An electric current of $15A$ flows through a wire for $6s$. If the work done in moving the charge is $100J$, find the electrical resistance of the wire. Express the answer upto 4 decimal places.

• A. 0.074

Answer 1

The correct option is A 0.074
Given:
Electric current, $i=15A$
Time, $t=6s$
Work done, $W=100J$

Electric charge, $q=i\times t=15\times 6=90C$
Electric potential, $V=\frac{W}{q}=\frac{100}{90}$
$⟹V=1.1111V$

Electric resistance, $R=\frac{V}{i}$
$⟹R=\frac{1.1111}{15}\approx 0.0740\Omega$.