The dome of a Van de Graaffgenerator re- ceives a charge of0.00014 C. The radius

Question

The dome of a Van de Graaffgenerator re-

ceives a charge of0.00014 C. The radius of

the dome is 3.8 m.

The Coulomb constant is8.98755 × 109 Nm2/C2, and theacceleration of grav-

ity is 9.8 m/s2.

a)Find the strength of theelectric field inside

the dome.

1. 87136.9 N/C

2. 12.1992 N/C

3. 87136.9 N/C

4. 45861.5 N/C

5. 0N/C

6. 1.60515 N/C

b) Find the strength of theelectric field at the

surface of the dome. Answer inunits of N/C.

c) Find the strength of the electric field at a

distance of 4.9 m from the centerof the dome.

Answer in units of N/C.

Explanation / Answer

   a.   Electric field intensityinside a charged conductor is zero.    Correct option   (5) 0    b.   On the surface, electricfieldis      Esurface   =   (1/40)* q /R2,      R   =   Radius   =   3.8m       Esurface   =   8.98755* 109 * 0.00014 /3.82   =   8.71 *104   N/C    c.   Outsidesphere   Eoutside   =   (1/40)* q /r2   ,   r   =   distancefrom centre   =   4.9 m          Eoutside   =   8.98755* 109 * 0.00014 /4.92   =   5.24 *104   N/C

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