a.) Is the value of B proportional to the value of the current I in the two larg

Question

a.) Is the value of B proportional to the value of the current I in the two large coils? Explain why?

b.) If suppose B is held constant, but the Voltage is varied. What happens to the radius r if V is doubled? or V is increased by a factor of 4? Explain answers using equations.

c.) Also, give the expression for the magnetic field B corresponding to the current I in the coils. The expression should contain the radius R of the coils, the number of turns N in each coil and the current I in the coils.

Explanation / Answer

a)

B = uNI/(2*pi*R)

here B is proportional to I.

If value of I is increased then magnetic field will also increase.

b)   Faraday's law

voltage generated = N delta(BA)/delta t

so V proportional to R2

if V is increased by a factor of 4 than R will be doubled.

c)

expression for the magnetic field B corresponding to the current I in the coils

B = uNI/(2*pi*R)

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