A uniform electric field of magnitude 387 V/m is directed in the positive x-dire

Question

A uniform electric field of magnitude 387 V/m is directed in the positive x-direction. Suppose a 25 uC charge moves from the origin to point A at the coordinates, (40 cm, 53 cm). What is the absolute value of the change in potential from the origin to point A? Answer in units of V.

Let: Va is the potential at A and Vo is the potential of the origin. At which point is the electric potential larger?

1. Unable to determine

2. Vo > Va

3. Va > Vo

4. Va = Vo

What was the absolute of the change in potential energy from the origin to point A? Answer in units of J.

Let: Ua and Uo are the electric potential energies at point A and the origin, respectively. At which point is the potential energy larger?

1. Uo > Ua

2. Ua = Uo

3. undetermined

4. Ua > Uo

005 (part 1 of 4) 10.0 points A uniform electric field ofmagnitude 387 V/m is directed in the positive a-direction. Sup- pose a 25 C charge moves from the origin to point A at the coordinates, (40 cm, 53 cm) 387 V/m 40 cm, 53 cm) What is the absolute value of the change in potential from the origin to point A? Answer in units of V. 006 (part 2 of 4) 10.0 points Let: V is the potential at A and Vo is the potential of the origin. At which point is the electric potential larger? 1. Unable to determine

Explanation / Answer

(1) Since the uniform electric field is along x-direction

      so, absolute change in potential from origin to point A = E* x = 387V/m * 0.4m = 154.8 Volts

(2) Electric field lines originates from positive charge(higher potential) and ends to negative charge(lower potential).

      Hence Vo > VA

(3) Absolute value of change in potential energy , U = chqrge * potential difference

                                                                                     = 25*10-6C * 154.8 V = 3.97*10-3 J

(4) Since potential at origin is larger than potential at A, hence potentail energy at O must be larger than the

      potential energy at A. That is Uo >UA

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