Electrical Potential Due to a Point Charge Quiz

PDF page 905: The potential at infinity is chosen to be zero. Thus for a point charge decreases with distance, whereas for a

PDF page 905: The potential at infinity is chosen to be zero. Thus for a point charge decreases with distance, whereas for a

PDF page 905: The potential at infinity is chosen to be zero. Thus for a point charge decreases with distance, whereas for a

PDF page 905: point charge decreases with distance squared:

PDF page 905: the voltage due to a combination of point charges, you add the individual voltages as numbers. To find the total electric field, you must add the individual fields as vectors, taking magnitude and direction into account. This is

PDF page 905: the voltage due to a combination of point charges, you add the individual voltages as numbers. To find the total electric field, you must add the individual fields as vectors, taking magnitude and direction into account. This is

PDF page 905: consistent with the fact that is closely associated with energy, a scalar, whereas is closely associated with

PDF page 905: Charges in static electricity are typically in the nanocoulomb to microcoulomb range. What is the voltage 5.00 cm away from the center of a 1-cm diameter metal sphere that has a static charge? Strategy As we have discussed in Electric Charge and Electric Field, charge on a metal sphere spreads out uniformly and

PDF page 905: Charges in static electricity are typically in the nanocoulomb to microcoulomb range. What is the voltage 5.00 cm away from the center of a 1-cm diameter metal sphere that has a static charge? Strategy As we have discussed in Electric Charge and Electric Field, charge on a metal sphere spreads out uniformly and

PDF page 906: A demonstration Van de Graaff generator has a 25.0 cm diameter metal sphere that produces a voltage of 100 kV near its surface. (See Figure 19.7.) What excess charge resides on the sphere? (Assume that each numerical value here is shown with three significant figures.)

PDF page 906: A demonstration Van de Graaff generator has a 25.0 cm diameter metal sphere that produces a voltage of 100 kV near its surface. (See Figure 19.7.) What excess charge resides on the sphere? (Assume that each numerical value here is shown with three significant figures.)

PDF page 906: potential is taken to be zero as a reference. The potential of the charged conducting sphere is the same as that of an equal point charge at its center. Strategy The potential on the surface will be the same as that of a point charge at the center of the sphere, 12.5 cm away. (The radius of the sphere is 12.5 cm.) We can thus determine the excess charge using the equation

PDF page 907: The voltages in both of these examples could be measured with a meter that compares the measured potential with ground potential. Ground potential is often taken to be zero (instead of taking the potential at infinity to be zero). It is the potential difference between two points that is of importance, and very often there is a tacit assumption that some reference point, such as Earth or a very distant point, is at zero potential. As noted in Electric Potential Energy: Potential Difference, this is analogous to taking sea level as when considering gravitational potential energy, .