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Calculate the current flowing through a...

Calculate the current flowing through a heater rated at `2 kW` when connected to a `300V` d.c. supply.

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To calculate the current flowing through a heater rated at 2 kW when connected to a 300V d.c. supply, we can follow these steps: ### Step 1: Understand the relationship between power, voltage, and current The power (P) consumed by an electrical device can be calculated using the formula: \[ P = V \times I \] where: - \( P \) is the power in watts (W) - \( V \) is the voltage in volts (V) - \( I \) is the current in amperes (A) ### Step 2: Convert the power rating from kilowatts to watts The heater is rated at 2 kW. To convert this to watts: \[ 2 \text{ kW} = 2 \times 10^3 \text{ W} = 2000 \text{ W} \] ### Step 3: Rearrange the formula to solve for current We need to find the current (I), so we can rearrange the formula: \[ I = \frac{P}{V} \] ### Step 4: Substitute the known values into the formula We know: - \( P = 2000 \text{ W} \) - \( V = 300 \text{ V} \) Substituting these values into the formula gives: \[ I = \frac{2000 \text{ W}}{300 \text{ V}} \] ### Step 5: Calculate the current Now, perform the division: \[ I = \frac{2000}{300} = \frac{20}{3} \approx 6.67 \text{ A} \] ### Conclusion The current flowing through the heater is approximately: \[ I \approx 6.67 \text{ A} \] ---

To calculate the current flowing through a heater rated at 2 kW when connected to a 300V d.c. supply, we can follow these steps: ### Step 1: Understand the relationship between power, voltage, and current The power (P) consumed by an electrical device can be calculated using the formula: \[ P = V \times I \] where: - \( P \) is the power in watts (W) - \( V \) is the voltage in volts (V) ...
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