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 Fapp = 1.25 N. The friction between the bar and rails is negligible. The resistance R = 8.00 Q, the bar is moving at a constant speed of 2.15 m/s, the distance between the rails is &, and a uniform magnetic field B is directed into the page. Fapp (a) What is the current through the resistor (in A)? 0.579 A (b) If the magnitude of the magnetic field is 2.50 T, what is the length (in m)? 0.862 m (c) What is the rate at which energy is delivered to the resistor (in W)? 2.681 W (d) What is the mechanical power delivered by the applied constant force (in W)? 2.6875 W What If? Suppose the magnetic field has an initial value of 2.50 T at time t = 0 and increases at a constant rate of 0.500 T/s. The bar starts at an initial position x Derive time-varying expressions for the following quantities. = 0.100 m to the right of the resistor at t = 0, and again moves at a constant speed of 2.15 m/s. (e) the current through the 8.00 Q 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) = The magnetic field is increasing linearly with time. Can you find an expression for the magnetic field at any time? Similarly, can you find an expression for the x-position of the bar at any time, knowing it moves at constant speed? Using these, through the loop depend on time? From your expression for flux, can you find the emf, and then the current, at any time? A 0º phys Operat Symbo Relatio Vo Sets 0 Vectors In Trig 10 log Greek Help арр Fapp |= (7)° (f) the magnitude of the applied force Fapp required to keep the bar moving at a constant speed (Use the following as necessary: t. Assume F Face() (t) is in N and t is in s. Do not include units in your answer.) app e How does the force depend on the current, magnetic field, and length of the bar? Knowing how the magnetic field and the current depend on time, from part (e), can you find an expression for the force at any time? N Need Help? Read It

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 Fapp = 1.25 N. The friction between the bar and rails is negligible. The resistance R = 8.00 Q, the bar is moving at a constant speed of 2.15 m/s, the distance between the rails is &, and a uniform magnetic field B is directed into the page. Fapp (a) What is the current through the resistor (in A)? 0.579 A (b) If the magnitude of the magnetic field is 2.50 T, what is the length (in m)? 0.862 m (c) What is the rate at which energy is delivered to the resistor (in W)? 2.681 W (d) What is the mechanical power delivered by the applied constant force (in W)? 2.6875 W What If? Suppose the magnetic field has an initial value of 2.50 T at time t = 0 and increases at a constant rate of 0.500 T/s. The bar starts at an initial position x Derive time-varying expressions for the following quantities. = 0.100 m to the right of the resistor at t = 0, and again moves at a constant speed of 2.15 m/s. (e) the current through the 8.00 Q 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) = The magnetic field is increasing linearly with time. Can you find an expression for the magnetic field at any time? Similarly, can you find an expression for the x-position of the bar at any time, knowing it moves at constant speed? Using these, through the loop depend on time? From your expression for flux, can you find the emf, and then the current, at any time? A 0º phys Operat Symbo Relatio Vo Sets 0 Vectors In Trig 10 log Greek Help арр Fapp |= (7)° (f) the magnitude of the applied force Fapp required to keep the bar moving at a constant speed (Use the following as necessary: t. Assume F Face() (t) is in N and t is in s. Do not include units in your answer.) app e How does the force depend on the current, magnetic field, and length of the bar? Knowing how the magnetic field and the current depend on time, from part (e), can you find an expression for the force at any time? N Need Help? Read It