# The coil has a radius of 8 cm and 110 turns. While moving the magnet closer towards the coil, at a certain point in time, the voltage meter shows -310 mV. What is the magnitude of the rate of change of the flux through the coil?

1 answer

###### Question:

The coil has a radius of 8 cm and 110 turns. While moving the magnet closer towards the coil, at a certain point in time, the voltage meter shows -310 mV. What is the magnitude of the rate of change of the flux through the coil?

## Answers

Answer:The magnitude of the rate of change of the flux through the coil is 2.82 x 10⁻³ T.m²/sExplanation:Given;radius of coil, r = 8 cm = 0.08 mnumber of turns of the coil, N = 110 turnsthe induced emf through the coil, E = -310mVThe induced emf through the coil is given by;[tex]E = - N\frac{d \phi}{dt} \\\\\frac{d \phi}{dt} = \frac{E}{-N}[/tex]Where;dФ/dt is the magnitude of the rate of change of the flux through the coil[tex]\frac{d\phi}{dt} = \frac{-0.31}{110} \\\\\frac{d\phi}{dt} =2.82*10^{-3} \ T.m^2/s[/tex]Therefore, the magnitude of the rate of change of the flux through the coil is 2.82 x 10⁻³ T.m²/s

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