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In this problem set, take the speed of light to be c=3x10$ m/s (we shall not speak of this again! O) 1) A point charge q undergoes a constant acceleration of a along the r-axis, starting from rest at the origin at time t=0. An observer is situated at rest at the origin. Assume non-relativistic mechanics. a) Calculate the charge's retarded time t, as a function of the observer's time t. (You need to solve a quadratic equation, so be sure to explain your choice of sign.) b) If a=3x 10° m/s², calculate t, to 4 significant figures at the time t=20s at the origin. c) If q=1C and a is the same as in part (b), calculate the potentials V (in V) and A (in T-m) at time t=20s at the origin.

In this problem set, take the speed of light to be c=3x10$ m/s (we shall not speak of this again! O) 1) A point charge q undergoes a constant acceleration of a along the r-axis, starting from rest at the origin at time t=0. An observer is situated at rest at the origin. Assume non-relativistic mechanics. a) Calculate the charge's retarded time t, as a function of the observer's time t. (You need to solve a quadratic equation, so be sure to explain your choice of sign.) b) If a=3x 10° m/s², calculate t, to 4 significant figures at the time t=20s at the origin. c) If q=1C and a is the same as in part (b), calculate the potentials V (in V) and A (in T-m) at time t=20s at the origin.

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In this problem set, take the speed of light to be c=3x10$ m/s (we shall not speak of this again! O) 1) A point charge q undergoes a constant acceleration of a along the r-axis, starting from rest at the origin at time t=0. An observer is situated at rest at the origin. Assume non-relativistic mechanics. a) Calculate the charge's retarded time t, as a function of the observer's time t. (You need to solve a quadratic equation, so be sure to explain your choice of sign.) b) If a=3x 10° m/s², calculate t, to 4 significant figures at the time t=20s at the origin. c) If q=1C and a is the same as in part (b), calculate the potentials V (in V) and A (in T-m) at time t=20s at the origin.
Transcribed Image Text:In this problem set, take the speed of light to be c=3x10$ m/s (we shall not speak of this again! O) 1) A point charge q undergoes a constant acceleration of a along the r-axis, starting from rest at the origin at time t=0. An observer is situated at rest at the origin. Assume non-relativistic mechanics. a) Calculate the charge's retarded time t, as a function of the observer's time t. (You need to solve a quadratic equation, so be sure to explain your choice of sign.) b) If a=3x 10° m/s², calculate t, to 4 significant figures at the time t=20s at the origin. c) If q=1C and a is the same as in part (b), calculate the potentials V (in V) and A (in T-m) at time t=20s at the origin.
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