in the figure below, a metal bar sitting on two parallel conducting rails, connected to each other by a resistor, is pulled to the right with a constant force of magnitude Fn = 1.45 N. The friction between the bar and rails is hegligible. The resistance R = 8.00 n, the bar is moving at a constant speed of 2.25 m/s, the distance between the rails is e, and a uniform magnetic field B is directed into the page. (a) What is the current through the resistor (in A)? 0.64 A (b) If the magnitude of the magnetic field is 2.60 T, what is the length € (in m)? 0.87 (c) What is the rate at which energy is delivered to the resistor (in W)? 3.28 (d) What is the mechanical power delivered by the applied constant force (in W)? w What If? Suppose the magnetic field has an initial value of 2.60 T at time t = 0 and increases at a constant rate of 0.500 T/s. The bar starts at an initial position x, = 0.100 m to the right of the resistor at t = 0, and again moves at a constant speed of 2.25 m/s. Derive time-varying expressions for the following quantities. (e) the current through the 8.00 n resistor R (Use the following as necessary: t. Assume I(t) is in A and t is in s. Do not include units in your answer.) I(t) = A (f) the magnitude of the applied force Fano required to keep the bar moving at a constant speed (Use the following as necessary: t. Assume Fn(t) is in N and t is in s. Do not include units in your answer.) Fapp(e) = N

in the figure below, a metal bar sitting on two parallel conducting rails, connected to each other by a resistor, is pulled to the right with a constant force of magnitude Fn = 1.45 N. The friction between the bar and rails is hegligible. The resistance R = 8.00 n, the bar is moving at a constant speed of 2.25 m/s, the distance between the rails is e, and a uniform magnetic field B is directed into the page. (a) What is the current through the resistor (in A)? 0.64 A (b) If the magnitude of the magnetic field is 2.60 T, what is the length € (in m)? 0.87 (c) What is the rate at which energy is delivered to the resistor (in W)? 3.28 (d) What is the mechanical power delivered by the applied constant force (in W)? w What If? Suppose the magnetic field has an initial value of 2.60 T at time t = 0 and increases at a constant rate of 0.500 T/s. The bar starts at an initial position x, = 0.100 m to the right of the resistor at t = 0, and again moves at a constant speed of 2.25 m/s. Derive time-varying expressions for the following quantities. (e) the current through the 8.00 n resistor R (Use the following as necessary: t. Assume I(t) is in A and t is in s. Do not include units in your answer.) I(t) = A (f) the magnitude of the applied force Fano required to keep the bar moving at a constant speed (Use the following as necessary: t. Assume Fn(t) is in N and t is in s. Do not include units in your answer.) Fapp(e) = N