An alternating current of rms value 10 A is passed through a 12 Ω resistor. The maximum potential difference across the resistor is

Question

An alternating current of rms value 10 A is passed through a 12 Ω resistor. The maximum potential difference across the resistor is (A) 20 V (B) 90 V (C) 169.68 V (D) none of these

Tardigrade Admin · Accepted Answer

I0 =I rms × √2 =10 √2 A ∴ Maximum potential difference =V0 =12 × 10 √2 =120 × 14.14=169.68 V

Q. An alternating current of $r m s$ value $10 A$ is passed through a $12 Ω$ resistor. The maximum potential difference across the resistor is

20 V

90 V

169.68 V

none of these

$I_{0} = I_{r m s} \times 2$
$= 102 A$
$∴$ Maximum potential difference $= V_{0}$
$= 12 \times 102$
$= 120 \times 14.14 = 169.68 V$

Q. An alternating current of rms value 10A is passed through a 12Ω resistor. The maximum potential difference across the resistor is