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Q19.4-37PE

Expert-verified
Found in: Page 697

College Physics (Urone)

Book edition 1st Edition
Author(s) Paul Peter Urone
Pages 1272 pages
ISBN 9781938168000

Sketch the equipotential lines for the two equal positive charges shown in Figure . Indicate the direction of increasing potential.

The lines of the equipotential are drawn parallel to the lines of the electric field. Drawing of the equipotential lines close to the two charges The electric field lines are pointed radially outward by the positive charges since they are positive. Therefore, both charges are in the direction of rising potential.

See the step by step solution

Step 1: Given Data

The two equal positive charge is shown in the diagram as:

Step 2: Define Electric Field

The term "electric field" refers to a physical field that surrounds electrically charged particles and exerts force on all other charged particles in the field, either attracting or repelling them.

Step 3: Concepts and Principles

Electric field lines are represented with their corresponding electric field vectors $$\mathop {\rm{E}}\limits^ \to$$ tangent to the lines at all points along the lines.

Positively charged items have electric field lines that start there and terminate with negatively charged objects (these charged objects do not need to be present on the sketches).

A charged item's charge intensity is inversely correlated with the number of electric field lines at the beginning or end of that thing. Therefore, there will be twice as many electric field lines leaving a charge of $${\rm{ + 2q}}$$ and $${\rm{ + 1q}}$$ as there are electric field lines entering a charge of on an electric field diagram.

Therefore, the density of the electric field lines in a place is inversely related to the strength of the electric field there.

The lines do not cross; if they did, the force acting on a test charge positioned there would not be known.

The direction of the largest potential reduction is indicated by the electric field lines.

A surface on which the potential has a constant value throughout is said to be equipotential. Both are said to be perpendicular when a field line crosses an equipotential surface. The interior of a conductor's points are all at the same potential when all charges are at rest, and the surface of the conductor is always an equipotential surface. When a conductor's cavity is empty of charge, the whole cavity is an equipotential zone and the cavity's surface is devoid of all surface charges.

There is no surface charge present anywhere on the cavity's surface since it is an equipotential zone.

Step 4: The required data

Sketching the equipotential lines for the two equal positive charged shown in figure of the question with indicating the direction of the increasing potential.

Step 5: Indicating the direction of increasing potential

The electric field for the given charge distribution is being drawn The lines of the equipotential are drawn parallel to the lines of the electric field. The sketch of the equipotential lines near the two charges is shown in the figure below as:

As, the charges are visible positive, the electric field lines are directed radially outward the charges. So, the direction of increasing potential is toward both charges.

Therefore, the equipotential are drawn parallel to the lines of the electric field.. The sketch of the equipotential lines are near the two charges. As, the charges are seen positive, the electric field lines are directed radially outward the charges. So, the direction of increasing potential is towards both the charges.