Question

A thin coil is located at the origin; its radius is 3 cm and its axis lies on the x axis. It has 40 low-resistance turns and is connected to a 75 Ω resistor. A second thin coil is located at <15, 0, 0> cm and is traveling toward the origin with a speed of 6 m/s; it has 55 low-resistance turns, its axis lies on the x axis, its radius is 6 cm, and it has a current of 11 A, powered by a battery. What is the magnitude of the current in the first coil?

A

Answer 1

Soluttan y-awwo 6m/s N2 SStunns N, 40 duins -aia Is,o,0) Cm 15 em magmehc field produed bi coll 2 at angin N212 Chan ho m field de 2x)x dt dt 3 lo N2I2 R 2 Cx2)5 dr ct dt 3o N2 2 R2 v 2 cx22) de dlt dt Maqneht flux across the fT st loop du to His field. P =B. A BT2) change n flux conto time dt R2 2 le2+R2)5% nduced em m fiist coil. E1 N.d4B dt 3NI o 2 T2 % RzV TTR X 2 Cx2+ h3/2 Civen: N,tunns m firtst co1l= 40 N2tuns m Secamd cot 55 Racius of iast col = 3cm = o.o3 m R1 R2Radius of secemd cotl= 6cm - o.06 m 1Scm = 1Sm I2 11A Gmys V e 3x 40x (4X16') xS s x11 xlS x0x6 2 C 0.1s 0.062 )2 ,xπx 6:03, 63.79x 10 v 4nduced cunent m feast conl (1,)= £ (U Ri2) I,3.79 x103 = 5.063X10A 7S ,S.063x1o A

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