Question

The Capacitance of an ideal capacitor is 2 U F. What is its reactance if the frequencyof the applied alternating E mf is 1000 Hz. Please answer me fast !!

Answer 1

Given:

The Capacitance of an ideal capacitor is 2 uF. Frequency of the applied alternating EMF is 1000 Hz.

To find:

Capacitive Reactance ?

Calculation:

Let Capacitive Reactance be $\chi_{C}$

$\rm \: \chi_{C} = \dfrac{1}{ \omega \times C}$

$\rm \implies \: \chi_{C} = \dfrac{1}{ 2\pi f \times C}$

$\rm \implies \: \chi_{C} = \dfrac{1}{ 2\pi \times 1000 \times (2 \times {10}^{ - 6}) }$

$\rm \implies \: \chi_{C} = \dfrac{1000}{ 4\pi }$

$\rm \implies \: \chi_{C} = 79.57 \: ohm$

So, Reactance is 79.57 Ohms