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The electric field between the plates of a parallel-plate capacitor is horizonta

ID: 2120717 • Letter: T

Question


The electric field between the plates of a parallel-plate capacitor is horizontal, uniform, and has a magnitude E=1.46*10^4 N/C. A small object of mass 0.0250 kg and charge -3.10 uC is suspended by a thread between the plates, as shown in the sketch. The tension in the thread is 0.249 N and the thread makes an angle of 10.5 degrees with the vertical.



Suppose the magnitude of the electric field is adjusted to give a tension of 0.260 N in the thread. This will also change the angle the thread makes with the vertical.


A.Find the new value of E. (N/C)


B.Find the new angle between the thread and the vertical. (degrees)

Explanation / Answer

FROM THE FIGUARE.....

B) T COS(THETA) = M*g.........(1)...

        T SIN(THETA)M = q*E.....(2).........

       COS(THETA) = M*g/T.......=(0.025*9.8)/(0.26).....=0.942

         THETA=19.55 WITH THW VERTICAL................

A)E=T SIN(THETA)/q.....

    E =0.26*SIN(19.55)/(-3.1*10^-6)...

E= 2.806*10^4 N/C

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