(a) What is the magnitude of the magnetic field at the center ofthe large circul
ID: 1755839 • Letter: #
Question
(a) What is the magnitude of the magnetic field at the center ofthe large circular loop at t = 0, t = 1 s, andt = 2 s due to the large loop?
B(t = 0) = T
B(t = 1 s) = T
B(t = 2 s) = T
(b) A small circular loop of area 4 cm2 andresistance 0.01 is placed in the plane of (and concentricwith) the large circular loop. The current in the large loop isthen changed in the same manner as described above.
What EMF is induced in the small loop at t = 1s?
EMF = V
(c) What is the magnitude of the magnetic field at the center ofthe small circular loop before t = 0, at t = 1 s,and after t = 2 s?
B(t = 0) = T
B(t = 1 s) = T
Explanation / Answer
(a)the magnitude of the magnetic field at the center of thelarge circular loop at t = 0, t = 1 s, andt = 2 s due to the large loop is B = (o * I/2a) ---------(1) o = 4 * 10-7N/A2,I = 207 A and a = 1.3 m (b)According to Faraday's law of induction,we have E = -(dB/dt) or E * dt = dB = d(B * A) = B * dA or E * dt = B * dA integrating the above equation we get E * t = B * A or E = (B * A/t) the value of B is obtained from equation (1) A = 4 cm2 = 4 * (10-2)2m2 = 4 * 10-4 m2 t = 1 s (c)the magnitude of the magnetic field at the center of thesmall circular loop before t = 0, at t = 1 s, andafter t = 2 s is same as given by equation (1).This isbecause the magnetic field at the center of the small circular loopis independent of time. t = 1 s (c)the magnitude of the magnetic field at the center of thesmall circular loop before t = 0, at t = 1 s, andafter t = 2 s is same as given by equation (1).This isbecause the magnetic field at the center of the small circular loopis independent of time.Related Questions
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