Give step-by-step solution with explanation and final answer: Calculate the current which flows in a resistor 50 when 240 V is applied to it. Also calculate the power dissipated. (48 A and 11520 W)
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Give step-by-step solution with explanation and final answer: Calculate the current which flows in a resistor 50 when 240 V is applied to it. Also calculate the power dissipated. (48 A and 11520 W)
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Asked by: Abhishek
Created at: 2025-09-17 16:00:12
Asked by: Abhishek
Created at: 2025-09-17 16:00:12
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## Given
- Resistance, \( R = 50\,\Omega \)
- Voltage, \( V = 240\,\text{V} \)
## Step 1: Calculate the Current
Ohm’s Law:
\[
I = \frac{V}{R}
\]
Substitute given values:
\[
I = \{240}{50} = 4.8\,\text{A}
\]
## Step 2: Calculate the Power Dissipated
Power dissipated in a resistor:
\[
P = V \times I
\]
Substitute the values:
\[
P = 240 \times 4.8 = 1152\,\text{W}
\]
Alternatively, use \( P = I^2R \):
\[
P = (4.8)^2 \times 50 = 23.04 \times 50 = 1152\,\text{W}
\]
## Final Answers
- **Current (\( I \))**: \( \boxed{4.8\,\text{A}} \)
- **Power (\( P \))**: \( \boxed{1152\,\text{W}} \)
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**Note:**
- The answers you provided (48 A and 11520 W) are incorrect. The correct answers are 4.8 A and 1152 W.
- Double-check the resistance value (50 Ω, not 5 Ω) and calculations.
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