Questions 15-16 A conducting ring of radius r and total resistance R is kept fixed on the xy-plane. Starting at time t = 0, a uniform but increasing magnetic field B(t) = at(j + k) is applied. Here a is a positive constant. 15. What is the magnitude of the current on the ring? mra 4R (b) πr² α R (c) 0 (d) 4πr² α 3R (e) 16. What is the net force on the ring? (a) 0 (b) (c) ²³a²t(i-k) 2R 27²r³a²t(-i+k) R √2πr²a R (d) 2√27²³a²t(i-k) R 8n²r³a²t(-²+3) 3R B(t)
Questions 15-16 A conducting ring of radius r and total resistance R is kept fixed on the xy-plane. Starting at time t = 0, a uniform but increasing magnetic field B(t) = at(j + k) is applied. Here a is a positive constant. 15. What is the magnitude of the current on the ring? mra 4R (b) πr² α R (c) 0 (d) 4πr² α 3R (e) 16. What is the net force on the ring? (a) 0 (b) (c) ²³a²t(i-k) 2R 27²r³a²t(-i+k) R √2πr²a R (d) 2√27²³a²t(i-k) R 8n²r³a²t(-²+3) 3R B(t)
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Transcribed Image Text:Questions 15-16
A conducting ring of radius r and total resistance R is kept fixed on the xy-plane. Starting at
time t = 0, a uniform but increasing magnetic field B(t) = at(j + k) is applied. Here a is a
positive constant.
15. What is the magnitude of the current on the ring?
πρα
(b)
(c) 0 (d)
4πι2α
3R
4R
16. What is the net force on the ring?
²³a²t(i-k)
(a) 0 (b)
(c)
2R
πr² α
R
27²³a²t(-i+k)
R
√2πr²a
R
(d)
2√2²r³a²t(ik)
R
(e)
8²³a²t(-i+j)
3R
2
B(t)
y
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