A conducting rod of mass m = 0.00107 kg is suspended from two vertical conducting springs separated by a distance L = 0.425 m.  Assume the height of the conducting loop is also L = 0.337 m.  The resistor shown at the top of the conducting loop has a resistance R = 0.982 Ω.  The entire system is immersed in a uniform magnetic field of magnitude B = 0.0103 T, as shown below.  It is desired to reduce the tension in the springs to zero. (1) What electric current would be required to pass through the conducting rod in order for the tension in both springs to be zero?  Give both the magnitude and direction (left or right) of the current. (2) In order to establish a current in the direction desired in part (a), should the ambient magnetic field increase or decrease in strength? (3) Find the magnitude of the required rate of change of the magnetic field that would bring about the required current found in part (1).

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A conducting rod of mass m = 0.00107 kg is suspended from two vertical conducting springs separated by a distance L = 0.425 m.  Assume the height of the conducting loop is also L = 0.337 m.  The resistor shown at the top of the conducting loop has a resistance R = 0.982 Ω.  The entire system is immersed in a uniform magnetic field of magnitude B = 0.0103 T, as shown below.  It is desired to reduce the tension in the springs to zero.

(1) What electric current would be required to pass through the conducting rod in order for the tension in both springs to be zero?  Give both the magnitude and direction (left or right) of the current.

(2) In order to establish a current in the direction desired in part (a), should the ambient magnetic field increase or decrease in strength?

(3) Find the magnitude of the required rate of change of the magnetic field that would bring about the required current found in part (1).

 

 

spring
(no resistance)
R
6
L
100
B
10
spring
(no resistance)
L
conducting rod
(no resistance)
Transcribed Image Text:spring (no resistance) R 6 L 100 B 10 spring (no resistance) L conducting rod (no resistance)
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