Question The maximum voltage produced in an AC generator completing 60 cycles in 30 seconds is 250 V . So the number of cycles which are completed in \( \mathrm{T} / 2 \) seconds is \( \ldots \ldots \ldots . \).

In this scenario, if the generator completes 60 cycles in 30 seconds, it means the frequency is 2 Hz (since \( f = \frac{\text{cycles}}{\text{time}} = \frac{60}{30} \)). This implies it completes 2 cycles every second. Now, for \( \mathrm{T} / 2 \) seconds, where \( \mathrm{T} \) (the period) is the time taken for one complete cycle, we know that \( \mathrm{T} \) for this generator is 0.5 seconds (since \( T = \frac{1}{f} = \frac{1}{2} \)). Thus, \( \mathrm{T} / 2 \) equals 0.25 seconds. In that time, the generator will complete \( 2 \text{ cycles/second} \times 0.25 \text{ seconds} = 0.5 \) cycles. Therefore, in \( \mathrm{T} / 2 \) seconds, the generator completes \( 0.5 \) cycles. It’s fascinating how alternating current (AC) generators work. They convert mechanical energy into electrical energy, which means that when you spin that coil in the magnetic field, you're actually kicking out electricity faster than you can say "It's time to party!" AC generators are quite essential for our power supply and ensure our lights stay on while keeping the electricity flowing smoothly. For those craving more knowledge about electrical circuits, diving into Maxwell's equations could light your curiosity! These four fundamental equations describe how electric charges create electric and magnetic fields and how those fields interact. If you're looking to understand everything from electromagnetic waves to how radios transmit signals, exploring Maxwell’s theory could deepen your insight into the beauty of physics and electricity.