Solve the following:

Solve the following: 1. The potential difference between two large parallel metal plates is 30 V. If the gap between the plates is 10 mm, what is the magnitude of the electric field? 2. Two large parallel metal sheets carrying equal and opposite electric charge are 2 m apart. The electric field between them is approximately uniform and has a magnitude of 600 N/C. What potential difference exists between the plates? 3. You have two parallel plates, each with area 7 m', that is used to construct a parallel-plate capacitor. a. If the capacitance of the device is 1 F. what is the distance d between the plates? b. If a dielectric of constant K = 500 is inserted between the plates, what is its new capacitance? 4. A parallel-plate capacitor is made from two square metal plates spaced 6 mm apart. a. If the plates measure 9 cm on each side, what is the capacitance? b. If this capacitor is charged with a 15-volt battery, how much charge does it accumulate? 5. Two point charges Q, = 47 ,IC and Q, = -7 pIC are separated by a distance of 19 cm. Find the electric potential energy of the system