Move it. Consider a conducting bar with length 1.0 [m], moving at a speed of 0.25 [m/s] to the right, connected to a 100. [Ω] resistor as shown. The circuit is immersed in a uniform magnetic field with strength 4.0 [T] directed into the page. The bar and connecting wires have negligible resistance. What is the magnitude of the induced current through the resistor?

Last Faraday Night. A galvanometer is connected across a solenoid, which is in a uniform external magnetic field. Which of the following cases will cause a deflection in the galvanometer needle?

I. Gradually decreasing the magnetic field strength to zero.

II. Tilting 60° from horizontal

III. Squeezing the solenoid's cross-sectional area

BDL. Shown are 3 integration paths shaped like letters B, D, and L with enclosed identical currents with directions shown. What is the correct order of their line integral ?

May butas. A conducting tube with inner radius and outer radius is carrying a current of out of the page that is uniformly distributed along its cross-sectional area. What is the magnetic field at region ? Use a clockwise Amperean loop.

Singkil. Consider four long, straight, parallel wires arranged in the corners of a 20.0 [cm] square and are carrying currents directed as shown in the figure. The into the page currents are 5.0 [A], while the out of the page currents are 2.5 [A]. What is the magnitude and direction of at point , the center of the square?

Concentrix. Consider two concentric circular loops of radius and , respectively, lying in the -plane. Each loop carries a current moving in the directions shown. What is the magnitude of the net magnetic field at point at distance from the center of the loops?

Two lanes. Consider two current-carrying wires shown in the figure. The top wire at is carrying a current to the right and contains a charge element of width at . The bottom wire at is carrying a current to the left and contains a charge element of width at . What is the net magnetic field at due to these charge elements?

Scattering charges. The figure shows a system of three electrons moving at velocities and a proton moving at velocity as shown. All charges are in the plane of the page (xy-plane). What is the magnitude and direction of the net magnetic field at point ?

Stability Check. Consider a circular loop shown which carry current in the direction indicated. If the loop is in a uniform magnetic field in the -direction, which of the following statements is/are TRUE about the loop?

I. The loop is in stable equilibrium.

II. The loop is in unstable equilibrium.

III. The loop experiences no torque.

Loop-in. A loop carries a current as shown and is immersed in a uniform magnetic field . What is the direction of the torque on the loop?