A sphere of radius 2m is made of a non-conducting material that has a 1miforrn volume charge density p = 2-655 X lU'lDC/ma. A spherical cavity of radius 111] is then carved out from the sphere. As measured from the center of the large sphere, the center of the spherical cavity is at the position F: cos300i + sin3003. Find the electric eld at a point P Within the cavity. As measured from the center of the cavity, the point P is at the position i" = 0.5cos500i + 0.55i116003. The two metal objects in the gure have net charges of +?6 [3C and Jo pC, which result in a 16 V potential difference between them. [a] What is the capacitance of the system? lb} If the charges are changed to +23": pC and -2?0 pl; what does the capacitance become? [1:] What does the potential difference become? It} Number n Units I VI If an uncharged capacitor is connected to a battery, one capacitor plate becomes negatively charged as electrons move from the interior of the plate to the plate face. In the figure the depth d from which the electrons come in the plate in a particular capacitor is plotted against a range of values for the potential difference V of the battery. The vertical scale is set by d; = 5.00 pm, and the horizontal scale is set by V, = 20.0 V. Assume the plate is made of copper with a density of conduction electrons of 8.49 x 10- electrons/m3. What is the ratio C/A? d (pm) d's 0 V()Each of the uncharged capacitors in the figure has a capacitance of 22.0 UF. A potential difference of 4200 V is established when the switch is closed. How much charge then passes through meter A? TU