A square coil with 100 turns of wire has sides of length 5 cm. The resistance of the coil is 12.0 Ω. The coil is placed in a uniform magnetic field that is perpendicular to the face of the coil and whose magnitude is decreasing at a rate of 0.081 T/s. What is the magnitude of the current circulating through the coil?

Respuesta :

Answer:

The magnitude of the current circulating through the coil is 1.68 mA.

Explanation:

Given that,

Number of turns = 100

Length = 5 cm

Resistance = 12.0 Ω

Rate of magnetic field = 0.081 T/s

We need to calculate the magnitude of the current circulating through the coil

Using formula of current

[tex]I=\dfrac{e}{R}[/tex]

[tex]I=\dfrac{-NA\dfrac{dB}{dt}}{R}[/tex]

Where, A = area

N = number of turns

R = resistance

Put the value into the formula

[tex]I=\dfrac{100\times(0.05)^2\times0.081}{12.0}[/tex]

[tex]I=0.0016875\ A[/tex]

[tex]I=1.68\times10^{-3}\ A[/tex]

[tex]I=1.68\ mA[/tex]

Hence, The magnitude of the current circulating through the coil is 1.68 mA.