Question

A 100 ohm resistor is connected to 220v 50hz ac supply. What is the rms value of current in the circuit and what is net power consumed over full cycle.​

Answer 1

Answer:

RMS value of the current in the circuit is 2.20 A.

Net power consumed over full cycle is 484 W.

Explanation:

Given :-

Resistance (R)= 100 Ω

Voltage (v) = 220 V

Frequency = 50 Hz

To find :-

RMS value of the current in the circuit.

Net power consumed over full cycle.

Solution :-

RMS value :

Using Ohm's law :-

I = V/R

Where :

I - Current

V - Voltage

R - Resistance

I = 220/100

I = 2.20 A

∴ RMS value of the current in the circuit is 2.20 A.

Net power consumed over full cycle :

P = VI

Where :

P - Power

V - Voltage

I - Current

P = 220 × 2.20

P = 484 W

or

P = I²R

P = (2.20)²100

P = 4.84 × 100

P = 484 W

∴ Net power consumed over full cycle is 484 W.

Answer 2

Answer:

RMS value of the current in the circuit is 2.20 A.

Net power consumed over full cycle is 484 W.

Explanation:

Given :-

Resistance (R)= 100 Ω

Voltage (v) = 220 V

Frequency = 50 Hz

To find :-

RMS value of the current in the circuit.

Net power consumed over full cycle.

Solution :-

RMS value :

Using Ohm's law :-

I = V/R

Where :

I - Current

V - Voltage

R - Resistance

I = 220/100

I = 2.20 A

∴ RMS value of the current in the circuit is 2.20 A.

Net power consumed over full cycle :

P = VI

Where :

P - Power

V - Voltage

I - Current

P = 220 × 2.20

P = 484 W

or

P = I²R

P = (2.20)²100

P = 4.84 × 100

P = 484 W

∴ Net power consumed over full cycle is 484 W.

I hope it is helpful