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mixas84 [53]
3 years ago
6

A rectangular coil with dimensions 0.14 m 0.14 m by 0.27 m 0.27 m has 550 550 turns of wire. It is rotated about its long axis i

n a magnetic field of 0.50 T . 0.50 T. At what frequency f f must the coil be rotated for it to generate a maximum potential of 130 V ?
Physics
1 answer:
Step2247 [10]3 years ago
3 0

Answer:

The frequency of coil must be 1.99 Hz

Explanation:

Given:

Magnetic field B = 0.50 T

Area of rectangular coil A = 0.14 \times 0.27 = 0.0378 m^{2}

Maximum potential \epsilon _{max}  = 130 V

Number of turns N = 550

For finding the frequency we use faraday's law

Maximum induced emf in rectangular coil is given by,

   \epsilon _{max}  = NBA\omega

Where \omega = 2\pi f

   \epsilon _{max}  = NBA(2\pi f )

    f = \frac{\epsilon _{max} }{NBA2\pi }

    f = \frac{130}{550 \times 0.50 \times 0.0378 \times 6.28}

    f = 1.99 Hz

Therefore, the frequency of coil must be 1.99 Hz

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