A uniform electric field E 430 N/C (created by charges not shown in the picture)

Question

A uniform electric field E 430 N/C (created by charges not shown in the picture) points in the x-direction. A positive charge Q 0.31 C is moved around isosceles right triangles (through various paths as shown) with sldes a-d> -cb5.7 cm. 1) When the charge is moved from point a to point e along a straight path (through point b), what happens to the electrical potential energy of the charge QP The potential energy increases. The potential energy decreases. e potential energy remains the same. 2) When the charge is moved from point a to point c along a straight path (through point b), what is the magnitude of the change in electrical potential energy of the charge Q? laul-7.6 IAUI-21.5J AUI-15.2 J AUI 10.7J IAUI0J 3) When the charge is moved from point a to point d (directly along the hypotenuse of the right triangle), what is the magnitude of the change in electrical potential energy of the charge Q IAUI 15.2 J AUI-3.8 J AUI 10.7 IAUI21.5 J IAUI -7.6J AUI-OJ 4) In the 1st quadrant, an electric field points only in the -y-direction but is non- uniform according to the expression:-30 in meters )where y is measured If a negative charge Q-0.31 C is moved vertically from y - 21 cm to y -45 cm, what is the magnitude of the change in electrical potential energy of the charge? laul-24.71 AUI-22.3J AUI 4.69 J IAUI -0.551 J laul-5.421 5) If a negative charge Q s moved from the poînt (14 cm, 21 cm) to the point (22 cm, 45 cm), what happens to the electrical potenergy of the charge Q? The potential energy increases The potential energy decreases. e potential energy remains the same.

Explanation / Answer

1) when positive charge is moving in direction of electric field from point a to c than potential energy will decrease. Option second is correct

2) change in potential energy is = -qEd

= -430×0.31×0.057

= -7.6 jule

3) change in potential energy of point a to d =-430×0.31×0.057 = -7.6jule

4) potential energy for this motion is = 22.3 jule

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