If a power of 100 W is being supplied across a potential difference of 200 V , current flowing is

Options

A. `2 A`
B. `0.5 A`
C. `1 A`
D. `20 A`

Answer

To solve the problem of finding the current flowing through a circuit when a power of 100 W is supplied across a potential difference of 200 V, we can use the formula that relates power (P), voltage (V), and current (I).

### Step-by-Step Solution:

1. **Identify the given values**:
- Power (P) = 100 W
- Voltage (V) = 200 V

2. **Use the power formula**:
The formula for power in terms of voltage and current is:
\[ P = V \times I \]
Where:
- \( P \) is the power in watts (W)
- \( V \) is the voltage in volts (V)
- \( I \) is the current in amperes (A)

3. **Rearrange the formula to solve for current (I)**:
To find the current, we rearrange the formula:
\[ I = \frac{P}{V} \]

4. **Substitute the known values into the formula**:
Now, substitute the values of power and voltage into the equation:
\[ I = \frac{100 \, \text{W}}{200 \, \text{V}} \]

5. **Calculate the current**:
Performing the calculation:
\[ I = \frac{100}{200} = 0.5 \, \text{A} \]

6. **Conclusion**:
The current flowing through the circuit is \( 0.5 \, \text{A} \).

### Final Answer:
The current flowing is **0.5 A**.

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