Two thin concentric conducting spherical shells are shown below. The smaller shell has a radius of a1 = 2 cm and carries (positive) uniform charge density of o, = + 60x10 12 C/m². The larger shell has a radius of a2 = 4 cm and carries a (negative) uniform charge density of o2 = - 40x10-12 C/m?. What is the electric field at a point 6 cm from the center of the two surfaces? Make sure you state the direction of the E field as either radially inward or radially outward.

The figure below displays a circular loop of conducting wire in a uniform magnetic field pointing into the page. The radius of the loop is 10.0 cm and the magnitude of the field is 0.160 T. You grab points A and B and pull them in opposite directions, stretching the loop until its area is nearly zero, taking a time of 0.170 s to do so. What is the magnitude of the average induced emf in the loop (in mV) during this time? * х * X x х A x * * x K mV X x * x. B * * *

The electric flux through a spherical Gaussian surface of radius r=20.0cm, with a uniformly charged, spherical conducting shell at its center, is ΦE =−2.30 × 104 N·m2/C. T c. How many excess electrons or protons does this sphere contain? d. f the conductor has a radius of R = 10.0 cm, what is its surface charge density? e. What is the electric field strength at the surface of the conductor?

In the figure shown, the inner sphere carries a charge of Qa=5.42nC and the outer spherical shell carries a charge of Qc=4nC. Both shells are concentric and conducting. The radii of the the shells are: a=1.94cm, b= 24.49cm and c-32.91cm. Determine the magnitude of the electric field a distance r=14.18cm from the center of the sphere (in N/C). G + + a