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.
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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.
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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
Verified answer
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 = 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 = 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.