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Expert-verified Found in: Page 665 ### College Physics (Urone)

Book edition 1st Edition
Author(s) Paul Peter Urone
Pages 1272 pages
ISBN 9781938168000 # Sketch the electric field lines a long distance from the charge distributions shown in Figure 18.26 (a) and (b). Figure 18.26 (a) Two negative charges produce the fields shown. It is very similar to the field produced by two positive charges, except that the directions are reversed. The field is clearly weaker between the charges. The individual forces on a test charge in that region are in opposite directions. (b) Two opposite charges produce the field shown, which is stronger in the region between the charges.

When figure (a) is seen from the long distance, the net charge on the system will be -2q and the electric lines will be observed as open curves directed towards the charge. And when figure (b) is observed from long distance, the net charge will be observed as zero as the system consists of equal magnitude of opposite nature of charges.

See the step by step solution

## Step 1: Electric field lines

The electric field in a region can be geometrically represented by drawing curves known as electric field lines. Line of forces are drawn in such a way that the tangent to the line of force gives the direction of electric field at that point.

## Step 2: Electric field lines a long distance from the charge distribution in Figure (a)

Figure (a) consists of two negatively charged particles. When the system is observed from long distance from the charge distribution, the net charge on the system seems to be -2q . Hence, the electric field lines a long distance from the charge distribution will be similar to that of -2q and be represented as, The electric field lines a long distance from the charge distribution

## Step 3: Field lines far away from the combination of charge in Fig. (b)

Figure (b) consists of one positive and one negative charged particle. When the system is observed from long distance from the charge distribution, the net charge on the system seems to be zero.

The electric field lines a long distance from the charge distribution is represented as, The electric field lines a long distance from the charge distribution

Thus, in the first case, at long distances from the charge, the field will be radially inward. On the other hand, no field will be experienced at large distances in the second case. ### Want to see more solutions like these? 