Question

Write the expression for the area of the region of the loop in the magnetic field as a function of time t Express your answer in terms of the variables s, t, and v. ► View Available Hint(s) A = s(s - vit) Previous Answers ✓ Correct The region of the part of the loop with the magnetic field is rectangle with side s and other side is changes respect the time as s - vit

Answer 1

The expression for the area of the region of the loop in the magnetic field is A = s(s - vit), where s represents the side length of the rectangle that forms the loop, t represents time, and v represents the rate of change of the side length with respect to time.

Step-by-step explanation:

The given expression for the area of the rectangular region of the loop in the magnetic field as a function of time t is:

A = s(s - vt)

where:

s is the initial side length of the rectangle (constant)

v is the velocity of the loop (constant)

t is the time

This expression accurately represents the area of the rectangle as it changes with time. Here's why:

s represents the initial length of the side that remains constant throughout the motion.

(s - vt) represents the length of the side that changes with time. As the loop moves, this side gets shorter at a rate proportional to the velocity (v) and time (t).

Multiplying these two side lengths gives the area of the rectangle at any given time (t).

Therefore, the expression A = s(s - vt) correctly describes the area of the rectangular region of the loop in the magnetic field as a function of time t.