Question

In the circuit shown, the heat produced in $5$ ohms resistance due to current through it is $50$ $J/s$. Then the heat generated / second in $2$ohms resistance is:

• A. $5J/s$
• B. $4J/s$
• C. $9J/s$
• D. $10J/s$

Answer 1

Answer: (A)

$5J/s$

Heat produced per second in $5\Omega$ is $50$ J/s

Let the potential difference between C and D be $V$

$\therefore$ $50=\frac{V^2}{5}$ $⟹V^2=250$

$⟹$ $V=15.8V$

Potential difference between A and M $V_{AM}=\frac{2}{2+8}V=\frac{2}{10}\times 15.8=3.16V$

$\therefore$ Heat generated per second in $2\Omega$ resistor $H=\frac{(3.16{)}^2}{2}=5J/s$