Shows a copper rod moving with velocity `v` parallel to a long straight wire carrying current `= 100 A`. Calculate the induced emf in the rod, where `v = 5 m S^(-1)`, `a = 1 cm` , `b = 100cm`. A. `0.23 mV`B. `0.46 mV`C. `0.16 mV`D. `0.32m V`

Shows a copper rod moving with velocity `v` parallel to a long straigh

1.	Shows a copper rod moving with velocity `v` parallel to a long straight wire carrying current `= 100 A`. Calculate the induced emf in the rod, where `v = 5 m S^(-1)`, `a = 1 cm` , `b = 100cm`. A. `0.23 mV`B. `0.46 mV`C. `0.16 mV`D. `0.32m V`
Answer» Correct Answer - B Let there be an an element `dx` of rod at a distance `x` from the wire. emf developed in the element, `dE = Bdxv` `:. dE = ((mu_(0))/(4pi)(2I)/(x))dx v` `:. E = (mu_(0)Iv)/(2pi)int_(a)^(b)(dx)/(x) = (mu_(0)Iv)/(2pi)"log"_(e)(b)/(a)` `:.E = (4pi xx 10^(-7) xx 100 xx 5)/(2pi) "log"_(e) (100)/(1)` `= 4.6 xx 10^(-4) V = 0.46 mV`

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Shows a copper rod moving with velocity `v` parallel to a long straight wire carrying current `= 100 A`. Calculate the induced emf in the rod, where `v = 5 m S^(-1)`, `a = 1 cm` , `b = 100cm`. A. `0.23 mV`B. `0.46 mV`C. `0.16 mV`D. `0.32m V`

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