To solve the question "If there is no charge enclosed then:", we can use Gauss's Law, which relates the electric flux through a closed surface to the charge enclosed by that surface.
### Step-by-Step Solution:
1. **Understanding Gauss's Law**:
Gauss's Law states that the electric flux (Φ) through a closed surface is directly proportional to the charge (Q) enclosed within that surface. The mathematical representation of Gauss's Law is:
\[
\Phi = \frac{Q_{\text{in}}}{\epsilon_0}
...
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A solid insulating sphere of radius a carries a net positive charge 3Q , uniformly distributed throughout its volume. Concentric with this sphere is a conducting spherical shell with inner radius b and outer radius c and having a net charge -Q, as shown in figure a. Consider a spherical Gaussian surface of radius rgtc, the net charge enclosed by this surface is ............. b. The direction of the electric field rgtc is ............. c. The electric field at rgtc is ............... . d. The electric field in the region with radius r, which cgtrgtb, is ............... e. Consider a spherical Gaussian surface of radius r, where cgtrgtb , the net charge enclosed by this surface is ................ . f. Consider a spherical Gaussian surface of radius r, where bgtrgta , the net charge enclosed by this surface is ................. . g. The electric field in the region bgtrgta is ................ . h. Consider a spherical Gaussian surface of radius rlta . Find an expression for the net charge Q(r) enclosed by this surface as a function of r. Note that the charge inside the surface is less than 3Q. i. The electric field in the region rlta is ................. . j. The charge on the inner surface of the conducting shell is .......... . k. The charge on the outer surface of the conducting shell is .............. . l. Make a plot of the magnitude of the electric field versus r.