## Electrical Potential

When a small positive test charge is placed in the electric field due to another charge, it experiences a force. So, work has to be done on the positive test charge to move it against this force of repulsion (we move the test charge from point A to point B, so some work is done occurs). The electric potential at a point in an electric field is defined as the work in moving a unit test charge from infinity to that point.**Conclusion-**

**Potential is denoted by the symbol V and its unit is volt. A potential of 1 volt at a point means that 1 joule of work is done in moving 1 unit positive charge from infinity to that point.**

**Concept to Understand-**

**1.**We first take a positive test charge

**Q test**at point A which field is outward and another charge also outward field so

**Q test**feels repulsion if move this test charge against another positive charge.

**2.**Suppose this

**Q test**is at infinity (anywhere in that field) and move this test charge to a particular

**point B**, so some work is done to perform by this test charge to move from

**point A**to

**point B**against the electric field.

Vab=Wab/Qtest(+ve)

so, if suppose

**test charge**at infinity

than Vb-V∞ = Wb-W∞/Qtest(+ve)

so V∞=0 and W∞=0 putting this value

so electric Potential at

**point B**isVb=Wb/Qtest(+ve)

V at b=1volt mean W at b=1joule to bring Qtest =1 coulomb at

**point B**from infinity

Electric Potential |

## Potential Difference

The difference in electric potential between two points is known as potential difference. The potential difference between two points in an electric circuit is defined as the amount of work done in moving a unit charge from one point to the other point.So that.

Work done

P.d(V) = --------------------

Quantity of charge moved

W

V = ---------

Q net

- The SI unit of potential difference is ----Volt
- It is denoted by symbol ---V
- The potential difference is measured by the mean of an instrument called ------Voltmeter.
- The voltmeter is another name for potential difference (p.d.)
- It is connected in parallel in the circuit to measure voltage

Voltmeter connection to measure voltage |

### A mixed question of S.Chand and NCERT of this topic.

**Q1. How**much energy is given to each coulomb of charge passing through a 6V battery?

**Ans.**V=W/Q

6=W/1C

W=6X1=6 joule

energy given to each coulomb of charge is 6 joules.

**Q2**. Three 2 V cells are connected in series and used as a battery in a circuit.

**(a)**What is p.d at the terminals of the battery?

**(b)**How many joules of electrical energy does 1C gain on passing through (i)one cell (ii)all three cells?

**Ans. (a**) P.d. at the terminal of the battery=2v+2v+2v=6V

**Note=**In series Voltage are added

**(b)**

**(i)**electrical energy through 1 cell =VxQ=2Vx1C=2J

**(ii)**Electrical energy through 3 cell =nxVxQ=3x2x1c=6J

(n=no of the cell)

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