Question

3) An infinity long wire has a current of 1, in +x direction. A finite wire along y-axis with the length of L and the mass m, is located between y = -L/2 and y = 1/2 has current of 1 in +y direction. a) Find force and/or torque due to current lo on the finite wire along the y-axis. b) Find acceleration and/or angular acceleration due to current 1, on the finite wire along the y-axis.

Answer 1

Soln outside + B PART. A IL →x I. Inside B F - Magnetic etic field due to infinitely long wire at / (dir direction outside) B = Ho I. 27 Magnetic field at -4/ B = to lo 27 % to ti ( direction inside) Force on due to Long wire F: I(Tx B) finite length wire (0-909) - IIB F: IL.Li Mo Io 27% Ho I. Il Scanned with CS LeamScanner 가

At / and -4/2 same force act but direction i's hence OPP osite it form couple pair . Torque due to couple T = F L T = Ho I. IL x L Torque due to current I. on the finite wire along axis. ý Part - B T- Ia S (m2) where - I moment of inertia of finite wire x= Angular ular acceleration, τ x 2 T Ho I. ILL ML2/12 - 12 40 I. Il TML Ans, the on Angular acceleration due to current to finite along yo axis. wire ES Scanned with CamScanner