A small 2-05-g plastic ball that has a charge q of 1-75 C is suspended.docx

M

A small 2.05-g plastic ball that has a charge q of 1.75 C is suspended by a string that has a length L of 1.00 m in a uniform electric field, as shown in the figure. If the ball is in equilibrium when the string makes a 9.80 Solution Balancing vertical forces, Tcos?=mg Balancing horizontal forces, qE=TSin? Dividing both equations, Tan ?=qE/mg q=mgTan?/E=0.0025*9.81*Tan 15.5/1000=6.80?C .

A small 2.05-g plastic ball that has a charge q of 1.75 C is suspended by a string that has a length
L of 1.00 m in a uniform electric field, as shown in the figure. If the ball is in equilibrium when
the string makes a 9.80
Solution
Balancing vertical forces,
Tcos?=mg
Balancing horizontal forces,
qE=TSin?
Dividing both equations,
Tan ?=qE/mg
q=mgTan?/E=0.0025*9.81*Tan 15.5/1000=6.80?C

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