Concept explainers
(a)
To Show:The electric field inside a solid sphere having a charge density
(b)
The electric field at the given points 1 and 2 as shown in the figure.
Given:
The radius of the cavity is
Explanation:
Draw a diagram to show the position of the cavity.
The electric field inside a cavity is equal to the sum of the electric field due to the original uncut sphere and the electric field due to the sphere of the cavity but with a uniform negative charge density.
Consider a point P at position 1.
Write the expression for the net electric field at position 1.
Here,
Substitute
The direction will be radially outward.
Take the centrepoint
Write the expression for the electric field at position 2.
Here,
Substitute 0 for
Negative sign indicates that the electric field will be towards the centre of the cavity.
Conclusion:
Thus, the electric field at point 1 is
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Physics for Scientists and Engineers
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