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CP A small sphere with mass 1.50 g hangs by a thread
Chapter 23, Problem 62P(choose chapter or problem)
CP A small sphere with mass 1.50 g hangs by a thread between two very large parallel vertical plates 5.00 cm apart (Fig. P23.59). The plates are insulating and have uniform surface charge densities +? and -?. The charge on the sphere is q = 8.90 X 10-6 C. What potential difference be-tween the plates will cause the thread to assume an angle of 30.0o with the vertical?
Questions & Answers
QUESTION:
CP A small sphere with mass 1.50 g hangs by a thread between two very large parallel vertical plates 5.00 cm apart (Fig. P23.59). The plates are insulating and have uniform surface charge densities +? and -?. The charge on the sphere is q = 8.90 X 10-6 C. What potential difference be-tween the plates will cause the thread to assume an angle of 30.0o with the vertical?
ANSWER:Solution 62P Step 1 of 6: 6 The sphere of mass m= 1.5 g and charge q=8.9 × 10 C is hanging with the help of thread between the two large parallel plates at the distance d=5 cm apart as shown in the figure below. The plates have uniform charge densities of + and -. We need to calculate the potential difference V= That can cause the sphere to hang at an angle = 30 . We can calculate the V, by using free body diagram at equilibrium to find F e and using V= Ed in equation F = qeE . Given data, Mass of sphere, m= 1.5 g=1.5 × 10 kg 3 Charge of sphere, q=8.9 × 10 C 6 Distance between plates, d=5 cm=0.05 m Angle, = 30 0 2 Acceleration due to gravity, g=9.8m/s Let E be the electric field between the plates and F be the electric force. To find, Potential difference, V=