The magnitude of the magnetic field at a certain distance from a long, straight conductor is represented by B. What is the magni
tude of the magnetic field at twice the distance from the conductor?
A. At twice the distance, the magnitude of the field is 4B.
B. At twice the distance, the magnitude of the field is 2B.
C. At twice the distance, the magnitude of the field is B/2.
D. At twice the distance, the magnitude of the field is B/4.
E. At twice the distance, the magnitude of the field remains equal to B.
A. At twice the distance, the magnitude of the field is 4B.
B. At twice the distance, the magnitude of the field is 2B.
C. At twice the distance, the magnitude of the field is B/2.
D. At twice the distance, the magnitude of the field is B/4.
E. At twice the distance, the magnitude of the field remains equal to B.
2 answers:
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Answer:
108.7 V
Explanation:
Two forces are acting on the particle:
- The external force, whose work is
- The force of the electric field, whose work is equal to the change in electric potential energy of the charge:
where
q is the charge
is the potential difference
The variation of kinetic energy of the charge is equal to the sum of the work done by the two forces:
and since the charge starts from rest, , so the formula becomes
In this problem, we have
is the work done by the external force
is the charge
is the final kinetic energy
Solving the formula for , we find