A 40 turn circular coil (radius = 4.0 cm, total resistance = 0.20 N) is %3D placed in a uniform magnetic field directed perpendicular to the plane of the coil. The magnitude of the magnetic field varies with time as given by B = 100 sin(10 tt) mī where t is measured in s. What is the magnitude of the induced current in the coil at 0.07 s? O a. 1.85 A O b. 3.21 A O c. 1.57 A O d. 2.55 A O e. 0 A

6. A loop of a wire has the shape shown in the drawing. The top part of the wire is bent into a semicircle of radius r= 0.18 m. The normal to the plane of the loop is parallel to a constant magnetic field of magnitude 0.79 T. What is the magnitude of the change in the magnetic flux that passes through the loop when, starting with the position shown in the drawing, the semicircle is rotated rough half a revolution? Wb B (into paper)

A small circular coil of 20 loops of wire having a radius of 1 cm is at rest in the X-y plane (so the normal to the loop points in the +z-direction). A uniform magnetic field of 0.5 T is turned on in the +x-direction. What is the magnetic flux through the loop? a. 7.85 x 10 Tm² b. 1.57 x 10 4 T m² O c. 3.14 x 10 3 T m2 O d. 0 T m2

As a diligent physics student, you carry out physics experiments at every opportunity. At this opportunity, you carry a 1.33 m long rod as you jog at 3.25 m/s, holding the rod perpendicular to your direction of motion. What is the magnitude B of the magnetic field that is perpendicular to both the rod and your direction of motion and that induces an EMF of 0.283 mV across the rod? Express the answer in milliteslas. B = mT

9

A single loop of copper wire, lying flat in a plane, has an area of 7.20 cm2 and a resistance of 1.80 N. A uniform magnetic field points perpendicular to the plane of the loop. The field initially has a magnitude of 0.500 T, and the magnitude increases linearly to 1.50 T in a time of 1.12 s. What is the induced current (in mA) in the loop of wire over this time? 3.57 You may have neglected to convert units. Be sure to convert the area from cm2 to m2. Then, convert the current from A to mA. mA Need Help? Read It

A magnetic field directed into the page changes with time according to B = 0.031 ot² + 1.40, where B is in teslas and t is in seconds. The field has a circular cross section of radius R = 2.50 cm (see figure below). xxxx vPg xxx xxx xxxx x Rx Bin P₁ (a) When t = 4.80 s and r₂ = 0.020 0 m, what is the magnitude of the electric field at point P₂? 0.00030 X Your response is off by a multiple of ten. N/C (b) When t = 4.80 s and r₂ = 0.020 0 m, what is the direction of the electric field at point P₂? perpendicular to r₂ and counterclockwise O into the page O out of the page. O perpendicular to ₂ and clockwise