Question

A100 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 :-

→ R.M.S. value of current is 2.2 A .

→ Net power consumed is 484 W .

Explanation :-

We have :-

• Resistance = 100 Ω

• R.M.S voltage/potential = 220 V

• Frequency = 50 Hz

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By Ohm's Law we know that :-

Vᵣₘₛ = Iᵣₘₛ × R

Substituting values, we get :-

⇒ 220 = Iᵣₘₛ × 100

⇒ Iᵣₘₛ = 220/100

⇒ Iᵣₘₛ = 2.2 A

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Now the relationship between power, R.M.S. current and voltage is :-

P = Vᵣₘₛ × Iᵣₘₛ

Substituting values, we get :-

⇒ P = 220 × 2.2

⇒ P = 484 W