Answer Happy

A long solenoid has circular coils of
radius R and is wrapped so that it
has n turns of wire per unit length. A constant
current I passes through the solenoid. The
magnetic field outside the solenoid small enough to be
ignored.

[Hint: Type "pi" for 𝜋 and "mu_0"
for 𝜇0.]

(a) Determine the magnetic field inside the solenoid by applying
Ampere's Law around the square of
length s shown.
[Hint: Type "r_1" for r1 and "r_2"
for r2.]

(b) A loop of wire of
radius r1 < R is
placed at the center of the solenoid so that the loop shares the
same axis as the solenoid. The current in the wire uniformly
decreases from I to zero in a
time t. Determine the following for the time when the
current is decreasing.

(i) The EMF induced in the loop
(ii) The electric field strength at one point on the loop
(c) Another loop of wire of
radius r2 > R is
placed at the center of the solenoid so that the loop shares the
same axis as the solenoid. Again, the current in the wire uniformly
decreases from I to zero in a
time t. Determine the following for the time when the
current is decreasing.

(i) The EMF induced in the loop
(ii) The electric field strength at one point on the loop
S oooooooooooooooooooo oooooooooooooooooo A long solenoid has circular coils of radius R and is wrapped so that it has n turns of wire per unit length. A constant current I passes through the solenoid. The magnetic field outside the solenoid small enough to be ignored. [Hint: Type "pi" for π and "mu_0" for μo.] (a) Determine the magnetic field inside the solenoid by applying Ampere's Law around the square of length s shown. B = mu 0*n*l R oooooooooooooooooooooooooooooooooooooooo [Hint: Type "r_1" for r₁ and "r_2" for r₂.] <R>
(b) A loop of wire of radius r₁ < R is placed at the center of the solenoid so that the loop shares the same axis as the solenoid. The current in the wire uniformly decreases from I to zero in a time t. Determine the following for the time when the current is decreasing. (i) The EMF induced in the loop ε 0 X (ii) The electric field strength at one point on the loop E 0 R ooooooooooooooooooooooooooo ooooooooooo (c) Another loop of wire of radius r₂ > R is placed at the center of the solenoid so that the loop shares the same axis as the solenoid. Again, the current in the wire uniformly decreases from I to zero in a time t. Determine the following for the time when the current is decreasing. (i) The EMF induced in the loop ε = 0 (ii) The electric field strength at one point on the loop