Back(II) Consider the circuit shown in Fig. 26–67, where all resistors have the same resistance R. At t = 0, with the capacitor C uncharged, the switch is closed. At t = ∞, what is the potential difference across the capacitor?
A switch that connects a battery to a 10 μF capacitor is closed. Several seconds later you find that the capacitor plates are charged to ±30 μC. What is the emf of the battery?
What is the capacitance of the two metal spheres shown in FIGURE EX26.22?
Two 2.0 cm×2.0 cm metal electrodes are spaced 1.0 mm apart and connected by wires to the terminals of a 9.0 V battery. What are the charge on each electrode and the potential difference between them?
Two 3.0-cm-diameter aluminum electrodes are spaced 0.50 mm apart. The electrodes are connected to a 100 V battery. What is the capacitance?
Two 3.0-cm-diameter aluminum electrodes are spaced 0.50 mm apart. The electrodes are connected to a 100 V battery. What is the magnitude of the charge on each electrode?
A cylindrical capacitor (Example 24–2) has Ra = 3.5 mm and Rb = 0.50 mm. The two conductors have a potential difference of 625 V, with the inner conductor at the higher potential. Calculate the electric field at the surface of the inner conductor.
(II) How strong is the electric field between the plates of a 0.80-μF air-gap capacitor if they are 2.0 mm apart and each has a charge of magnitude 84-μC?
The long cylindrical capacitor shown in Fig. 24–37 consists of four concentric cylinders, with respective radii Ra, Rb, Rc and Rd. The cylinders b and c are joined by metal strips. Determine the capacitance per unit length of this arrangement. (Assume equal and opposite charges are placed on the innermost and outermost cylinders.)
What is the capacitance of a pair of circular plates with a radius of 5.0 cm separated by 2.3 mm of mica?
A parallel-plate capacitor with plate area 2.0 cm² and air-gap separation 0.50 mm is connected to a 12-V battery, and fully charged. The battery is then disconnected. What is the charge on the capacitor?
(I) The two plates of a capacitor hold +3500 μC and -3500μC of charge, respectively, when the potential difference is 960 V. What is the capacitance?
Two identical capacitors are connected in parallel and each acquires a charge Q0 when connected to a source of voltage V0. The voltage source is disconnected and then a dielectric (K = 3.6) is inserted to fill the space between the plates of one of the capacitors. Determine the voltage now across each capacitor.