How much work is done in moving a charge of 4c across two points having potential difference
of 14 v. calculate the member of elections flowing
in it
Answers
Work done by body is 56 J.
Number of electrons flowing = 2.5 × 10^(19)
Solution
We have,
Charge across two points = 4c
Potential difference = 14 V
Work done = ?
We know,
Work done = Potential difference × Charge
⇒ Work done = 14 × 4
⇒ Work done = 56 J
∴ Work done by body = 56 Joule.
Now we have,
Charge (Q) = 4c
Charge of electron (e) = 1.6 × 10^(-19)
Number of electrons = ?
We know,
Charge = Number of electrons × Charge in electron.
⇒ 4 = n × 1.6 × 10^(-19)
⇒ n = 4/(1.6 × 10{-19})
⇒ n = 2.5 × 10^(19)
∴ Number of electrons flowing = 2.5 × 10^(19)
Answer:
Explanation:
Given :-
Charge across two points = 4c
Potential difference = 14 V
We know that,
Charge of electron = 1.6 × 10⁻¹⁹ C
To Find :-
Work done
Number of electrons.
Formula to be used :-
Work done = Potential difference × Charge
Charge = Number of electrons × Charge of electron
Solution :-
Putting all the values, we get
⇒ Work done = 14 × 4
⇒ Work done = 56 J
Hence, the work done in moving charge is 56 J.
Now, Number of electrons
Charge = Number of electrons × Charge of electron
⇒ 4 = Number of electrons × 1.6 × 10⁻¹⁹
⇒ Number of electrons = 4/1.6 × 10⁻¹⁹
⇒ Number of electrons = 2.5 × 10¹⁹
Hence, the Number of electrons is 2.5 × 10¹⁹.