The distance between the charge and the source of the electric field is 2.2 m.
<h3>Relationship between potential energy and Distance:</h3>
The distance of charge from the source is directly proportional to the potential energy.
Where,
- distance
- potential energy = 75 J
- Electric field =
- charge =
Put the values in the formula,
Therefore, the distance between the charge and the source of the electric field is 2.2 m.
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Answer:
Solution:
Explanation:
The goal is to solve the system by substitution following these steps:
- 1. Isolate the variable with the smallest coefficient, moving the term with the lowest coefficient so that it is alone one one side
- 2. Divide by the coefficient
- 3. Substitute
- 4. Solve
This is the application of those steps to the given system:
<u>1. Isolate the variable with the smallest coefficient:</u>
<u>2. Divide both sides by the coefficient</u>
<u>3. Substitute</u>
- 3 × [2 - 5D] / 2 + 4D = 5
<u>4. Solve</u>
- Distributive property: multiply 3 with each term inside the brackets
(6 - 15D) / 2 + 4D = 5
- Distributive property: divide each term inside the parenthesis by 2:
3 - 15D/2 + 4D = 5
- Move the number 3 to the right side (addition property of equality)
- 15D/2 + 4D = 5 - 3
- Combine like terms (add the fractions on the left and the constant terms on the right)
[- 15D + 8D] / 2 = 2
[-7D] = 4
D = - 4/7
C = [2 - 5D] / 2 = [2 - 5 (-4/7) ] / 2
C = [2 + 20/7] / 2
C = [14 + 20] / 14
C = 34 / 14
C = 17 / 7
Solution:
The magnitude and direction of the force on the charge is -12 N opposite the electric field
To calculate the force on a charge in an electric field, we make use of the formula below.
<u>Formula</u>
F = E×Q .......................... Equation 1
Where:
- F = Force on the charge
- E = Electric Field
- Q = charge
From the question,
Given:
Substitute these values into equation 1
Note: The negative sign indicates that the force is in the direction negative of the electric field.
Hence, The magnitude and direction of the force on the charge is -12 N opposite the electric field
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Explanation:
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