A 9V battery is connected between an inner spherical conductor (R1 = 10 cm) and a concentric conducting spherical shell (R₂ = 30 m, R3 = 35 cm,). The inner spherical conductor is positively charged (+Q) and the outer conducting spherical shell is negatively charged (-Q). Find the potential at a point, r, between the conductors where the electric potential of the outer conducting spherical shell is set to zero as the reference. O R₂ R₂ Q 1 +7 (4) r 2 Q v(r) = 41% v(r) = 1 (1/2₂ - + V (1) = R. r 1 1 Απε, R Q 1 1 ° --- (-+) V(r) =. 4πε r R

A total charge of -94.0 nC is uniformly distributed throughout a non-conducting sphere with a radius of 5.00 cm. The electric potential at r = 15.0 cm, relative to the potential far away, is _______ V.

Еход In an Oxy plane, we for Charge + 1.μC at the charge a Particle A with a Particle B with origin +2μC at (x = 4m, yzom), a particle c with charge -3μ6 at (x = 4m, y=3m) and a Particle & with charge - teμe at (x=0m, y z 3m). Determine the electric potential at the location, where particle D os y DQ found. A① BD 3m ' 1 B 2 3

Points A and B lie within a region of space where there is a uniform electric field that has no x- or z-component; only the y-component Ey is nonzero. Point A is at y = 8.00 cm and point B is at y = 15.0 cm. The potential difference between B and A is VB - VA = +12.0 V, so point B is at higher potential than point A. (a) Is Ey positive or negative? (b) What is the magnitude of the electric field? (c) Point C has coordinates x = 5.00 cm, y = 5.00 cm. What is the potential difference between points B and C?

A spherical capacitor contains a charge of 3.00 nC when connected to a potential difference of 230.0 V. Its plates are separated by vacuum and the inner radius of the outer shell is 4.30 cm. Calculate the capacitance.

A solid sphere of radius R carries charge Q distributed uniformly throughout its volume. Find the potential difference from the sphere’s surface to its center.

A cylindrical capacitor has an inner conductor of radius 2.2 mm and an outer conductor of radius 3.5 mm. The two conductors are separated by vacuum, and the entire capacitor is 2.8 m long. (a) What is the capacitance per unit length? (b) The potential of the inner conductor is 350 mV higher than that of the outer conductor. Find the charge (magnitude and sign) on both conductors.

What is the potential at point P?

A uniform electric field is oriented in the -x direction. The magnitude of the electric field is 6500 N/C. (a) How will the equipotential surfaces associated with this electric field be oriented? O parallel to the xy plane O parallel to the xz plane O parallel to the yz plane (b) Consider two of the equipotential surfaces; one with a potential of 11 V and the other with a potential of 12 V. What is the separation between these two surfaces? mm

A uniform electric field is oriented in the +z direction. The magnitude of the electric field is 6500 N/C. (a) How will the equipotential surfaces associated with this electric field be oriented? O parallel to the xy plane O parallel to the xz plane O parallel to the yz plane (b) Consider two of the equipotential surfaces; one with a potential of 10 V and the other with a potential of -16 V. What is the separation between these two surfaces? mm