Consider the solenoid circuit below (left). The long solenoid has N tums, has length L, and its wire has resistance R. The solenoid is driven by a voltage source V(t). (a) If V(t) = V, = constant, find the B-field inside the solenoid. (b) If V(t) = V,sinwt, find the B-field inside the solenoid. (c) Consider the inner loop at the center of the solenoid. It is mounted on an axis (dashed blue line) on which it can rotate at angular rate w. An edge view and end view of the inner loop are shown in the diagram. (i) For the case of V(t) = V, and w = 0, find the induced voltage on the inner loop (lop normal is along solenoid axis). (i) For the case of V(t) = V,sinwt and w = 0, find the induced voltage on the inner loop (loop normal is along solenoid axis). (iii) For the case of V(t) = V, and w = awo. find the induced voltage on the inner loop. (iv) For the case of V(t) = Vosinwt and w = wo, find the induced voltage on the inner loop.
Consider the solenoid circuit below (left). The long solenoid has N tums, has length L, and its wire has resistance R. The solenoid is driven by a voltage source V(t). (a) If V(t) = V, = constant, find the B-field inside the solenoid. (b) If V(t) = V,sinwt, find the B-field inside the solenoid. (c) Consider the inner loop at the center of the solenoid. It is mounted on an axis (dashed blue line) on which it can rotate at angular rate w. An edge view and end view of the inner loop are shown in the diagram. (i) For the case of V(t) = V, and w = 0, find the induced voltage on the inner loop (lop normal is along solenoid axis). (i) For the case of V(t) = V,sinwt and w = 0, find the induced voltage on the inner loop (loop normal is along solenoid axis). (iii) For the case of V(t) = V, and w = awo. find the induced voltage on the inner loop. (iv) For the case of V(t) = Vosinwt and w = wo, find the induced voltage on the inner loop.
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Transcribed Image Text:Consider the solenoid circuit below (left). The long solenoid has N tums, has length L, and
its wire has resistance R. The solenoid is driven by a voltage source V(t).
(a) If V(t) = V, = constant, find the B-field inside the solenoid.
(b) If V(t) = V,sinwt, find the B-field inside the solenoid.
(c) Consider the inner loop at the center of the solenoid. It is mounted on an axis (dashed
blue line) on which it can rotate at angular rate w. An edge view and end view of the
inner loop are shown in the diagram.
(1) For the case of V(t) = V, and w = 0, find the induced voltage on the inner loop (loop
normal is along solenoid axis).
(ii) For the case of V(t) = V,sinwt and w = 0, find the induced voltage on the inner
loop (loop normal is along solenoid axis).
(iii) For the case of V(t) = V, and w = wo, find the induced voltage on the inner loop.
(iv) For the case of V(t) = V, sinwt and w = wo, find the induced voltage on the inner
loop.
solenoid
rotàting
inner loop
rotation åxis
solenoid
N turns, length L,
resistance R
(V(t)
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