A solid cylindrical conducting shell of inner radius a = 5.9 cm and outer radius
ID: 1262571 • Letter: A
Question
A solid cylindrical conducting shell of inner radius a = 5.9 cm and outer radius b = 7.6 cm has its axis aligned with the z-axis as shown. It carries a uniformly distributed current I2 = 7 A in the positive z-direction. An inifinte conducting wire is located along the z-axis and carries a current I1 = 2 A in the negative z-direction.
1)
What is By(P), the y-component of the magnetic field at point P, located a distance d = 25 cm from the origin along the x-axis as shown?T
2) What is
where the integral is taken along the dotted path shown in the figure above: first from point P to point R at (x,y) = (0.707d, 0.707d), and then to point S at (x,y) = (0.6d, 0.6d).T-m
3)What is By(T), the y-component of the magnetic field at point T, located at (x,y) = (-6.4 cm,0), as shown?
T
4)
What is
where the integral is taken on the straight line path from point S to point P as shown?
T-m
5)Suppose the magnitude of the current I2 is now doubled. How does the magnitude of the magnetic field at (x,y) = (2.95 cm, 0) change?
B(2.95 cm, 0) increases
B(2.95 cm, 0) decreases
B(2.95 cm, 0) remains the same
Integral s p B . dl where the integral is taken on the straight line path from point S to point P as shown? T-m 5)Suppose the magnitude of the current I2 is now doubled. How does the magnitude of the magnetic field at (x,y) = (2.95 cm, 0) change? B(2.95 cm, 0) increases B(2.95 cm, 0) decreases B(2.95 cm, 0) remains the same What is Integrla s p B . Dl where the integral is taken along the dotted path shown in the figure above: first from point P to point R at (x, y) = (0.707d, 0.707d), and then to point S at (x, y) = (0.6d, 0.6d) . T-m 3) What is By(t), the y-component of the magnetic field at point T, located at (x, y) = (-6, 4 cm, 0), as shown? T 4)Explanation / Answer
(1).
B=
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