Question

A magnetic field, B,is given as a function of the distance, r,from the center of a wire as follows.

(a) Sketch a graph of B against r.

What is the meaning of the constant B₀?

1) Theconstant B₀ is thevalue of B atr =r₀ andthe minimum value of B.

2)Theconstant B₀ isalways exactly equal to the value of r₀ and isthe maximum value of B.

3)Theconstant B₀ is thevalue of B atr =r₀ andthe maximum value of B.

4)Theconstant B₀ isalways exactly equal to the value of r₀ and isthe minimum value of B.

5)Theconstant B₀ is thevalue of B whenr >r₀ andindicates the end behavior of B.

(b) Is B continuous at r =r₀? Give reasons.

B = {r/r0 B0 for r r0 r0/r B0 for r > r0 B is continuous at r =r0, because B is continuous at r = r0, because B is continuous at r = r0, because B is not continuous at r = r0q, because B is not continuous at r = r0, because Is B differentiable at r = r0? Give reasons. The function B is differentiable at r = r0, because the graph does not have a corner at r = r0 and the slope for r r0. The function B is differentiable at r = r0, because the function is continuous at r = r0. The function B is not differentiable at r = r0, because the function is not continuous at r = r0. The function B is not differentiable at r = r0, because the graph has a corner at r = r0 and the slope is positive for r r0. The function B is not differentiable at r = r0, because the function is not defined at r = r0.