The heat developed in a 5 ohm resistor in 2 minutes when a 2A current passes through it is ________.
2400 J
To find the heat developed in the 5 ohm resistor when a current of 2A passes through it for 2 minutes, we use the formula for electrical power:
P = I2R
Where: I is the current (2A) and R is the resistance (5 ohms). Substitute the values:
P = (22) × 5 = 4 × 5 = 20 watts
Next, calculate the total energy or heat developed using the formula:
Q = P × t
Where t is the time in seconds. Convert 2 minutes to seconds:
t = 2 × 60 = 120 seconds
Substitute the values:
Q = 20 × 120 = 2400 joules
Thus, the heat developed in the resistor is 2400 J, which matches the correct option.
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