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When at rest, a proton experiences a net electromagnetic
Chapter 22, Problem 17P(choose chapter or problem)
Problem 17P
When at rest, a proton experiences a net electromagnetic force of magnitude 8.0 × 10−13 N pointing in the positive x direction. When the proton moves with a speed of 1.5 × 106 m/s in the positive y direction, the net electromagnetic force on it decreases in magnitude to 7.5 × 10−13 N, still pointing in the positive x direction. Find the magnitude and direction of (a) the electric field and (b) the magnetic field.
Questions & Answers
QUESTION:
Problem 17P
When at rest, a proton experiences a net electromagnetic force of magnitude 8.0 × 10−13 N pointing in the positive x direction. When the proton moves with a speed of 1.5 × 106 m/s in the positive y direction, the net electromagnetic force on it decreases in magnitude to 7.5 × 10−13 N, still pointing in the positive x direction. Find the magnitude and direction of (a) the electric field and (b) the magnetic field.
ANSWER:
Step 1 of 2:-
a)
Here, we have to find the electric field.
The net electromagnetic force on the proton is,
.
When the proton moves in the +ve y direction with a speed of , the net electromagnetic force on it is,
.
The net force is always in the +ve x direction, so, let’s assume that the magnetic force at the 1st instance is zero.
So,
.
So, the electric field is .