A 100 ohm resistor is connected to a voltage of 230 V for 2 h. Calculate the heat produced

To calculate the heat produced by the resistor, we can use the formula:

\text{Heat (Joules)} = \text{Power (Watts)} \times \text{Time (seconds)}

First, let's calculate the power using the formula:

P = \frac{V^2}{R}

where:
V = 230 \, \text{V} (voltage)
R = 100 \, \Omega (resistance)

P = \frac{(230 \, \text{V})^2}{100 \, \Omega}
P = \frac{52900}{100} = 529 \, \text{W}

Next, we convert the time from hours to seconds:

\text{Time} = 2 \, \text{hours} \times 3600 \, \text{seconds/hour} = 7200 \, \text{seconds}

Finally, we can calculate the heat produced:

\text{Heat} = 529 \, \text{W} \times 7200 \, \text{s} = 3808800 \, \text{Joules}

Therefore, the heat produced by the resistor is 3808800 Joules.

\boxed{3808800 \, \text{J}}