12 2. Two ideal solenoids are "nested" (aligned concentrically) along the same axis, as shown above. The larger (outer) solenoid carries an initial current in its coils, as shown in its wires above. The smaller (inner) solenoid's current, /2, is initially zero. (Assume that both solenoids are part of larger closed circuits, so that currents are able to flow. Each solenoid has some small but non-zero resistance.) larger solenoid: -75 cm smaller solenoid: £2-33 cm r-3.0 cm -4.0 cm Ni-1200 turns N2450 trns Note: NOT all of the above values will be used in the following calculations. Suppose that you linearly increase I from 3.5 A to 10.0 A during a time period of 60. ms. a. (3 pts.) What is the initial magnetic field strength and direction inside the larger solenoid when -3.5 A? Show your work. b. (4 pts.) Find the strength of the average total emf induced across the smaller solenoid. For the emf direction, DRAW "into page" or "out of page" current symbols inside the wires of the smaller solenoid to indicate the direction of the induced current (assuming that current is able to flow). Ignore any additional B-field created by the induced current in the smaller solenoid. Show your work completely. 12 2. Two ideal solenoids are "nested" (aligned concentrically) along the same axis, as shown above. The larger (outer) solenoid carries an initial current in its coils, as shown in its wires above. The smaller (inner) solenoid's current, /2, is initially zero. (Assume that both solenoids are part of larger closed circuits, so that currents are able to flow. Each solenoid has some small but non-zero resistance.) larger solenoid: -75 cm smaller solenoid: £2-33 cm r-3.0 cm -4.0 cm Ni-1200 turns N2450 trns Note: NOT all of the above values will be used in the following calculations. Suppose that you linearly increase I from 3.5 A to 10.0 A during a time period of 60. ms. a. (3 pts.) What is the initial magnetic field strength and direction inside the larger solenoid when -3.5 A? Show your work. b. (4 pts.) Find the strength of the average total emf induced across the smaller solenoid. For the emf direction, DRAW "into page" or "out of page" current symbols inside the wires of the smaller solenoid to indicate the direction of the induced current (assuming that current is able to flow). Ignore any additional B-field created by the induced current in the smaller solenoid. Show your work completely.