Saved Bookmarks
| 1. |
A long solenoid of cross-sectional area `5.0 cm^2` is wound with 25 turns of wire per centimetre. It is placed in the middle of a closely wrapped coil of 10 turns and radius 25 cm as shown. (a) What is the emf induced in the coil when the current through the solenoid is decreasing at a rate `-0.20 A//s` ?(b) What is the electric field induced in the coil? |
|
Answer» In the theory we have already derived mutual inductance between solenoid and coil `M=(mu_0N_1N_2(piR_1^2))/l_1` `=(mu_0N_1N_2S_1)/l_1` `|e|=|M(di)/(dt)|=|(mu_0N_1N-2S_1)/l_1 (di_1)/(dt)|` `=((4pixx10^-7)(25)(10)(5xx10^-4)(0.2))/10^-2` `=3.14xx10^-6V` b. `El=|(dphi)/(dt)|=e` `:. E=e/l=e/(2piR_2)` `=(3.14xx10^-6)/((2pi)(0.25))` `=2xx10^-6V//m` |
|