Question

Electric field in a region is given as E=2i+3jN/C . The potential difference (VA – VB) between points A(1, –2) and B(3, –4) in volts is?

Answer 1

Answer:

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Answer 2

Concept:

• Electric fields
• An electric field is a physical field that surrounds electrically charged particles and acts as an attractor or repellent to all other charged particles in the vicinity.
• Potential differences
• Vectors
• Voltage is the dot product of an electric field and the distance

Given:

• Electric field = 2i + 3j
• Point A (1, -2), Vector A = i - 2j
• Point B (3, -4), Vector B = 3i - 4j

Find:

• The potential difference between points A and B

Solution:

The position vector AB = Vector B - Vector A

Position vector AB = 3i - 4j - (i - 2j) = 2i - 2j

Potential difference V = E. AB

V = (2i + 3j) . (2i - 2j)

V = 4 + (-6) = -2 V

The potential difference is -2V.

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