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2. A charged rod is placed on the x-axis between x = d and x = d+ L. Its charge density is not uniform, and is given by A = cx, where c is a positive constant. a. What are the SI units of c? b. Calculate the total charge of the rod (hint: Q = f dq). c. Calculate the electric field at x = 0. d. Suppose L= 2d. If the rod is replaced by a point charge with the same total charge (calculated in part b), where should the point charge be located in order to give the same electric field at x = 0 as for the rod. e. A proton is placed at x = 0 and is released from rest. Describe the trajectory of the proton. Is the acceleration of the proton constant?

2. A charged rod is placed on the x-axis between x = d and x = d+ L. Its charge density is not uniform, and is given by A = cx, where c is a positive constant. a. What are the SI units of c? b. Calculate the total charge of the rod (hint: Q = f dq). c. Calculate the electric field at x = 0. d. Suppose L= 2d. If the rod is replaced by a point charge with the same total charge (calculated in part b), where should the point charge be located in order to give the same electric field at x = 0 as for the rod. e. A proton is placed at x = 0 and is released from rest. Describe the trajectory of the proton. Is the acceleration of the proton constant?

Question
A charged rod is placed on the x-axis between x = d and x = d + L. Its charge density is not uniform, and is given by 1 = cx, where c is a positive constant. a. What are the Sl units of c? b. Calculate the total charge of the rod (hint: Q =/dg). c. Calculate the electric field at x = 0. d. Suppose L = 2d. If the rod is replaced by a point charge with the same total charge (calculated in part b), where should the point charge be located in order to give the same electric field at x = 0 as for the rod. e. A proton is placed at x = 0 and is released from rest. Describe the trajectory of the proton. Is the acceleration of the proton constant?
2. A charged rod is placed on the x-axis between x = d and x = d+ L. Its charge density is not uniform, and is given by A = cx, where c is a positive constant. a. What are the SI units of c? b. Calculate the total charge of the rod (hint: Q = f dq). c. Calculate the electric field at x = 0. d. Suppose L = 2d. If the rod is replaced by a point charge with the same total charge (calculated in part b), where should the point charge be located in order to give the same electric field at x = 0 as for the rod. e. A proton is placed at x = 0 and is released from rest. Describe the trajectory of the proton. Is the acceleration of the proton constant?
Transcribed Image Text:2. A charged rod is placed on the x-axis between x = d and x = d+ L. Its charge density is not uniform, and is given by A = cx, where c is a positive constant. a. What are the SI units of c? b. Calculate the total charge of the rod (hint: Q = f dq). c. Calculate the electric field at x = 0. d. Suppose L = 2d. If the rod is replaced by a point charge with the same total charge (calculated in part b), where should the point charge be located in order to give the same electric field at x = 0 as for the rod. e. A proton is placed at x = 0 and is released from rest. Describe the trajectory of the proton. Is the acceleration of the proton constant?
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