A conducting rod of mass m and length ℓ slides freely along conducting rails. The rails lie in a horizontal plane in a uniform perpendicular magnetic field B; the circuit contains a battery of emf E and resistance R. The rod starts at rest at t = 0. Its speed is v(t) = [E/(Bℓ)] [1 − exp(−7Kt/n)], where K = B²ℓ²/(mR). Find n.
Physics · Mixed Chapter
A conducting rod of mass m and length ℓ slides freely along conducting rails. The rails lie in a horizontal plane in a uniform perpendicular magnetic field B; the circuit contains a battery of emf E and resistance R. The rod starts at rest at t = 0. Its speed is v(t) = [E/(Bℓ)] [1 - exp(-7Kt/n)], where K = B²ℓ²/(mR). Find n.