Problem 335 The following figure shows a 10cmdiameter soleno

Problem 33.5 The following figure shows a 1.0-cm-diameter solenoid passing through the center of a 4.2-cm-diameter loop. The magnetic field inside the solenoid is 0.18 T Solenoid 60 Part A What is the magnetic flux through the loop when it is perpendicular to the solenoid? Express your answer to two significant figures and include the appropriate units. ValueUnits Submit My Answers Give Up Part B What is the magnetic flux through the loop when it is tilted at a 60° angle? Express your answer to two significant figures and include the appropriate units. Value Units Submit My Answers Give Up Provide Feedback

Solution

The diameter of the solenoid d = 1.0cm



then the radius of the solenoid r = .5cm



the magnetic filed B = 0.18T



(a) flux=(magnetic field)(area)(costheta) The magnetic flux through the loop:


= BAcos



= Br^2 cos90



= (0.18T)(.5*10^-2m)^2



= 0.00001413 Tm^2 or Wb






(b) when it is tilted at = 60

There is no change in flux when it tilts so the answer is the same: 0.00006208 Tm^2 or Wb