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9. A rectangular loop with L, = 0.65 m and L₂ = 0.65 m is sitting in a magnetic field B = 0.45 T as shown in the figure. There is a counterclockwise current / = 0.45 A in the loop (a) Express the magnitude of the magnetic force on ab or cd, F₁, in terms of the length L₁, current / and magnetic field B. (b) Calculate the numerical value of the magnitude of the force, F₁, on ab or cd in N. (c) Express the magnitude of the magnetic force on bc or ad, F2, in terms of the length L₂, current / and magnetic field B. (d) Which direction does the force on ab act? (e) Which direction does the force on cd act? (f) Express the torque of F, on ab, with respect of the axis ef, in terms of F, and L₂. (g) Express the torque of F, on cd, with respect of the axis ef, in terms of F, and L₂. (h) What is the total torque on the current loop with respect of axis ef, in terms of F, and L₂? (i) Calculate the numerical value of the total torque in N-m. (i) Express the torque of F, on ab, with respect of the axis cd, in terms of F, and L₂. (k) Express the torque of F, on cd, with respect of the axis cd, in terms of F, and L₂. (1) What is the total torque on the current loop, with respect of the axis cd, in terms of F, and L₂? (m) True or false: the total torque on the loop is the same regardless of what is chosen as the position of the vertical axis of rotation. B d 4₁

9. A rectangular loop with L, = 0.65 m and L₂ = 0.65 m is sitting in a magnetic field B = 0.45 T as shown in the figure. There is a counterclockwise current / = 0.45 A in the loop (a) Express the magnitude of the magnetic force on ab or cd, F₁, in terms of the length L₁, current / and magnetic field B. (b) Calculate the numerical value of the magnitude of the force, F₁, on ab or cd in N. (c) Express the magnitude of the magnetic force on bc or ad, F2, in terms of the length L₂, current / and magnetic field B. (d) Which direction does the force on ab act? (e) Which direction does the force on cd act? (f) Express the torque of F, on ab, with respect of the axis ef, in terms of F, and L₂. (g) Express the torque of F, on cd, with respect of the axis ef, in terms of F, and L₂. (h) What is the total torque on the current loop with respect of axis ef, in terms of F, and L₂? (i) Calculate the numerical value of the total torque in N-m. (i) Express the torque of F, on ab, with respect of the axis cd, in terms of F, and L₂. (k) Express the torque of F, on cd, with respect of the axis cd, in terms of F, and L₂. (1) What is the total torque on the current loop, with respect of the axis cd, in terms of F, and L₂? (m) True or false: the total torque on the loop is the same regardless of what is chosen as the position of the vertical axis of rotation. B d 4₁

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9. A rectangular loop with L₁ = 0.65 m and L₂ = 0.65 m is sitting in a magnetic field B = 0.45 T as shown in the figure. There is a counterclockwise current / = 0.45 A in the loop.(a) Express the magnitude of the magnetic force on ab or cd, F₁, in terms of the length L₁, current / and magnetic field B. (b) Calculate the numerical value of the magnitude of the force, F₁, on ab or cd in N. (c) Express the magnitude of the magnetic force on bc or ad, F2, in terms of the length L2, current / and magnetic field B. (d) Which direction does the force on ab act? (e) Which direction does the force on cd act? (f) Express the torque of F, on ab, with respect of the axis ef, in terms of F, and L2. (g) Express the torque of F, on cd, with respect of the axis ef, in terms of F₁ and L2. (h) What is the total torque on the current loop with respect of axis ef, in terms of F, and L₂? (i) Calculate the numerical value of the total torque in N-m. (j) Express the torque of F, on ab, with respect of the axis cd, in terms of F, and L₂. (k) Express the torque of F, on cd, with respect of the axis cd, in terms of F, and L₂. (1) What is the total torque on the current loop, with respect of the axis cd, in terms of F, and L₂? (m) True or false: the total torque on the loop is the same regardless of what is chosen as the position of the vertical axis of rotation. B I d 4
Transcribed Image Text:9. A rectangular loop with L₁ = 0.65 m and L₂ = 0.65 m is sitting in a magnetic field B = 0.45 T as shown in the figure. There is a counterclockwise current / = 0.45 A in the loop.(a) Express the magnitude of the magnetic force on ab or cd, F₁, in terms of the length L₁, current / and magnetic field B. (b) Calculate the numerical value of the magnitude of the force, F₁, on ab or cd in N. (c) Express the magnitude of the magnetic force on bc or ad, F2, in terms of the length L2, current / and magnetic field B. (d) Which direction does the force on ab act? (e) Which direction does the force on cd act? (f) Express the torque of F, on ab, with respect of the axis ef, in terms of F, and L2. (g) Express the torque of F, on cd, with respect of the axis ef, in terms of F₁ and L2. (h) What is the total torque on the current loop with respect of axis ef, in terms of F, and L₂? (i) Calculate the numerical value of the total torque in N-m. (j) Express the torque of F, on ab, with respect of the axis cd, in terms of F, and L₂. (k) Express the torque of F, on cd, with respect of the axis cd, in terms of F, and L₂. (1) What is the total torque on the current loop, with respect of the axis cd, in terms of F, and L₂? (m) True or false: the total torque on the loop is the same regardless of what is chosen as the position of the vertical axis of rotation. B I d 4
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