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in the equation for the This problem checks your understanding of the term electric field due to a point charge, B = r. Consider a charged particle at a point S whose coordinates are 7 m, 5 m, 7 m). We would like to find the electric field vector at a point P whose coordinates are (6 m, 8 m, 7 m). The "unit vector" is a vector that points from Sto P that has length of 1 for "unity). What is its y component, in meters? (Your answer must be accurate to within 10%.)
This problem checks that you can use the formula that gives the electric field due to a spherical shell of charge. This formula can be calculated using the superposition principle we discussed in class and gives Er outside the shell and zero inside the shell. The distance r is the distance between the center of the shell and the point of interest. Consider a sphere with radius 4 cm having a uniformly distributed surface charge of +29 nC. What is the magnitude of the electric field it creates at a point 8 cm from its center, in units of kN/C?
The electric field due to an infintely large, charged plane is uniform in magnitude and direction and can be written E = E where o is the charge per unit area ("surface charge density") and Ê is always the same direction, perpendicular to the plane. Consider a uniformly charged disk with a radius of 20 cm. If the electric field vector at point P located a small distance above the disk's center has a magnitude of 705 N/C, what is the disk's approximate charge? Give your answer in units of pc.
This question checks that you can use the formula of the electric field due to a long, thin wire with charge on it. The field due to an infinitely long, thin wire with linear charge density is E = Imagine a long, thin wire with a constant charge per unit length of -8x10-7 C/m. What is the magnitude of the electric field at a point 10 cm from the wire (assuming that the point is much closer to the wire's nearest point than to either of its ends)? Give your answer in units of kN/C.
This problem checks that you understand how electric potential (units of Volts) is related to energy (units of Joules). Imagine that a proton released at rest from point A moves in response to the electric field of a fixed charge distribution along a path that takes it through point B. If the potential has a value of +3,039 V at point A and -1.456 V at point B. how much energy has the proton gained when it passes point B? Give your answer in units of femto Joyles (10-15 )).