1. Find the area of the region described:
a) inside one loop of the lemniscate r^2=4cos(2theta)
b) inside the six-petaled rose r^2=2sin(3theta)
[b]2. A=integral [1/2 r^2 dtheta]
Are there any easy ways to determine the integration bounds? (without graphing)
Our textbook doesn't give any...
Homework Statement
An isolated cylindrical capacitor consists of two concentric conducting cylinders of length L and radii a and b. The inner and outer conductors carry +Q and -Q, respectively.
a. Determine the electric field between the conductors.
b. Determine the electric potential...
Homework Statement
Two identical +6x10^-6 C charges, each with a mass of 10^-6, are placed as shown in the diagram below. All coordinates are in meters.
...
An identical charge is brought in slowly from far away to point P.
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All three charges are released simultaneously. What is the...
Homework Statement
Two charges, charge one is +Q and charge two +2Q, are fixed in a plane along the y-axis of an x-y coordinate plane. Charge one is at point (0,a) and Charge two is at the point (0,2a).
(a) Is there any portion of the y-axis in which the total electric field is zero? If so...
1. The 1.0-m-long nonuniform plank has weight 1000 N. It is supported by two rods, A and B, as shown above. The center of mass of the plank is 30 cm from the right edge. Each support bears half the weight of the plank. If support B is 10 cm from the right-hand edge, how far from the left-hand...