a very long solenoid is constructed as a coil of wire. Current is allowed the flow through the solenoid which creates a magnetic field. How the does the magnetic field change if the radius of the solenoid is doubled but everything else doesnt change

the magnetic field of the solenoid will remain same.

Explanation:

The magnetic field of a solenoid is given by the following formula:

where,

B = magnetic field

μ₀ = permeability of free space

N = total number of coils

I = current passing through the solenoid

L = length of the solenoid

The formula clearly shows that the radius of the solenoid has no effect on the magnetic field produced by it.

Therefore, the magnetic field of the solenoid will remain same.

two charges are fixed in place on the x-axis as shown. the charge at x = 0 is negative and has magnitude q = 2 μcoulombs (1 μcoulomb = 10-6 coulombs). the charge at x = d, (d = +12 cm), is positive and has magnitude q = 4 μcoulombs. find a point x = xo along the x-axis at which the electric field is zero.

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