Question

A rectangular coil with sides 0.140 m by 0.260 m has 485 turns of wire. It is rotated about its long axis in a uniform magnetic field of 0.510 T that is perpendicular to the long axis. At what frequency f, in complete cycles per second, must the coil be rotated for it to generate a maximum voltage of 115 V ?

Answer 1

To generate a maximum voltage of 115 V, a rectangular coil with specific dimensions and number of turns needs to be rotated at a certain frequency.

Step-by-step explanation:

To generate a maximum voltage of 115 V, the coil needs to be rotated at a specific frequency. The relationship between the frequency and the voltage can be determined using the formula:

f = (V / (N * B * A))

where:

• f is the frequency in complete cycles per second
• V is the voltage in volts
• N is the number of turns of wire
• B is the magnetic field strength in tesla
• A is the area of the coil in square meters

Plugging in the given values:

f = (115 V / (485 * 0.510 T * 0.140 m * 0.260 m))

Calculating the frequency, we get:

f ≈ 0.131 cycles per second

Therefore, the coil needs to be rotated at a frequency of approximately 0.131 cycles per second to generate a maximum voltage of 115 V.