A test charge is moved from lower potential point to a higher potential point. The potential energy of test charge will
- remain the same
- increase
- decrease
- become zero
The Correct Option is B
Approach Solution - 1
A test charge is moved from a lower potential point to a higher potential point. The potential energy of the test charge will increase. Because \(U = Q V\) \(\because Q =+ 1 , \quad U = V\) At high potential will high energy and at low potential will have low energy.
When a test charge is moved from a lower potential point to a higher potential point, its potential energy will increase.
The potential energy of a test charge in an electric field is given by the equation:
PE = qV
where PE is the potential energy, q is the charge of the test charge, and V is the potential difference.
In this case, as the test charge is moved from a lower potential point to a higher potential point, the potential difference (V) increases. Since the charge (q) remains the same, the potential energy (PE) will also increase.
Therefore, the potential energy of the test charge will increase when it is moved from a lower potential point to a higher potential point.
Approach Solution -2
When a test charge is moved from a lower potential point to a higher potential point in an electric field, its potential energy increases.
This is because the potential energy U of a charge q is directly proportional to the electric potential V at its location, and moving to a higher potential means the charge gains potential energy. Conversely, moving to a lower potential point would decrease its potential energy. Thus, the potential energy of the test charge increases when it moves to a higher potential point.
So, the correct option is (B): increases
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Concepts Used:
Electrostatic Potential and Capacitance
Electrostatic Potential
The potential of a point is defined as the work done per unit charge that results in bringing a charge from infinity to a certain point.
Some major things that we should know about electric potential:
- They are denoted by V and are a scalar quantity.
- It is measured in volts.
Capacitance
The ability of a capacitor of holding the energy in form of an electric charge is defined as capacitance. Similarly, we can also say that capacitance is the storing ability of capacitors, and the unit in which they are measured is “farads”.
Read More: Electrostatic Potential and Capacitance
The capacitor is in Series and in Parallel as defined below;
In Series
Both the Capacitors C1 and C2 can easily get connected in series. When the capacitors are connected in series then the total capacitance that is Ctotal is less than any one of the capacitor’s capacitance.
In Parallel
Both Capacitor C1 and C2 are connected in parallel. When the capacitors are connected parallelly then the total capacitance that is Ctotal is any one of the capacitor’s capacitance.