4. (a) Asolid sphere of charge, Q = 2μC with a radius R = 2m is held fixed in space. Point a is located at 12 m from the centre of the sphere and point b at 10m. What is the minimum work that has to be done on charge q = 1μC in order to bring it from point a to point b in the configuration shown below.

The figure below shows equipotential contours in the region of space surrounding two charged conductors. 15.0 V 10.0 V OV 30.0 V 35.0 V 45.0 V 20.0 V 25.0 V Find the work WAB in electron volts done by the electric force on a pr that moves from point A to point B. Similarly, find WAC, WAD, and W, (Assume the proton starts and stops at rest. Enter your answers in e' HINT (a) w AB ev (b) WAC ev (c) WAD eV

A solid conducting sphere of 10 cm radius has a net charge of 20 nC. If the potential at infinity is taken as zero, what is the potential at the center of the sphere?

In a magnesium oxide unit, the distance between the magnesium ion (Mg2+) and the oxide ion (O2−) is 1.51×10-10 m. Calculate the work required to separate the two ions to an infinite distance apart. (Model the ions as point charges at rest before and after the separation.)

How much charge can be placed on a capacitor with air between the plates before it breaks down if the area of each plate is 6.00 cm2? Find the maximum charge if bakelite is used between the plates instead of air.

A water molecule is built as an isosceles triangle; the two hydrogen atoms are separated by 1.5x10-10m, and the oxygen is a distance 1x10-10m from either of the hydrogens. Treating the hydrogens as point charges, each of +e, and the oxygen as a point charge of -2e, estimate the total electric potential energy stored in this molecule.

Points A and B are 40 and 25 mm away from a 6 μC charge, how much work is necessary to do against the electric field (through external forces) to move a 5 μC charge from point A to point B?

Question 1 Consider two charges +q and +3q. There original distance is d. How much work is needed to bring +3q to a distance d/2? 1 W ext 4πεο O 3q^2 (1/d) -3q^2 (1/d) 3q (1/d) -3q (1/d)