Question Detail

PHY 102 Test Compilation PHY 102 21 Objective Question
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Question

The potential is given as V(x,y) = 3x + 4y. Determine the magnitude of the electric field intensity.
Options
A -7
B 7
C 5
Correct Answer
D -5
Correct Answer

Option C is the correct answer.

Detailed Explanation

The electric field is the negative gradient of potential: Ex = -dV/dx = -3, Ey = -dV/dy = -4 So E = (-3, -4) and its MAGNITUDE is: |E| = sqrt(32 + 42) = sqrt(9+16) = sqrt(25) = 5 V/m. (A 3-4-5 right triangle - a very common exam shortcut.)

Hint

The electric field is the negative gradient of potential: Ex = -dV/dx = -3, Ey = -dV/dy = -4 So E = (-3, -4) and its MAGNITUDE is: |E| = sqrt(32 + 42) = sqrt...

Question Info

Course: PHY 102
Topic: Test Compilation PHY 102 21
Type: Objective
Difficulty: Not specified
Question 1305 of 1819
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