An object of mass m = 4.2 g and charge Q = 42 ? C is attached to a string and pl

Question

An object of mass m = 4.2g and charge Q = 42?C is attached to a string and placed in a uniform electric field that is inclined at an angle of 30.0 ? with the horizontal (see the figure). The object is in static equilibrium when the string is horizontal. (Figure 1)

Find the tension in the string

An object of mass m = 4.2g and charge Q = 42?C is attached to a string and placed in a uniform electric field that is inclined at an angle of 30.0 ? with the horizontal (see the figure). The object is in static equilibrium when the string is horizontal. Find the tension in the string

Explanation / Answer

Let T be tension ,

Then T= F cos 30

and mg = Fsin 30

Where F force expeirieced by Charge ,

which will be 30 to Horizontal and away upwards


T = mg cot 30 =4.2 X 10 ^-3 * 9.8 * sqrt(3) = 0.0712N

F= T/cos 30 = 0.0712N

T=0.0612N

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