1. Two identical point charges (q = +7.20 muC) are fixed at diagonally opposite

Question

1. Two identical point charges (q = +7.20 muC) are fixed at diagonally opposite corners of a square with sides of length 48.0 cm. 1.1. What is the total potential (w.r.t. infinity) at one of the empty corners of the square? (3 points) a) 270 kV b)381 kV c) 562 kV d) 795 kV 1.2. What is the total potential (w.r.t. infinity) at the center of the square? (2 points) a) 270 kV b) 381 kV c) 562 kV d) 795 kV 1.3. The size of the square is changed such that the potential in one of the empty corners is 450 kV, while the potential at the center is 636 kV. A test charge (Q = -24.0 nC) has a mass of 6.60 x 10^-8 kg. It is released from rest at one of the empty corners of the square. What is the change in potential energy the test charge experiences by the time it reaches the center of the square? (2 points) a) -3.48 mJ b)-4.46 mJ c) -145 kJ d) -186 kJ 1.4. What is the speed of the test charge when it reaches the center of the square with the new potentials? (3 points) a) 66.3 km/s b) 75.1 km/s c)325 m/s d) 368 m/s

Explanation / Answer

1.1 )

potential V= kq1/r +kq2/r

V=2kq/r =270kV

1.2) here r = 48/1.414 cm =33.9 cm

V = 2kq/r =381kv

1.3) U = q(450kV-636kV)

U =-4.46mJ

1.4) U = 0.5mv2

that gives

v = 368m/s

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