2] A conducting wire carries 10^21 electrons in 4 minutes. What is the current flowing through the wire? *
2 points
(a)40A
(b)7A
(c)4A
(d)0.7A
Answers
Answer:
Explanation:
- Number of electrons = 10²¹ electrons
- Time taken (t)= 4 mins = 240 s
- Current flowing through the conductor (I)
→ First we have to find the charge of the conductor.
→ By quantization of charges we know that
q = ne
where e = charge of an electron = 1.6 × 10⁻¹⁹ C
→ Substituting the datas we get,
q = 10²¹ × 1.6 × 10⁻¹⁹
q = 1.6 × 10² C
→ The current flowing through a conductor is given by
I = q/t
→ Substituting the datas we get
I = 1.6 × 10²/240
I = 0.67 ≈ 0.7 A
→ Hence current flowing through the conductor is 0.7 A
→ Hence option d is correct.
→ Quantization of charge is one of the basic property of charge.
Electric charge is always an integral multiple of e
q = ne
Answer:
Given:
Number of electrons = 10²¹ electrons
Time taken (t)= 4 mins = 240 s
\Large{\underline{\underline{\bf{To\:Find}}}}
ToFind
Current flowing through the conductor (I)
\Large{\underline{\underline{\bf{Solution:}}}}
Solution:
→ First we have to find the charge of the conductor.
→ By quantization of charges we know that
q = ne
where e = charge of an electron = 1.6 × 10⁻¹⁹ C
→ Substituting the datas we get,
q = 10²¹ × 1.6 × 10⁻¹⁹
q = 1.6 × 10² C
→ The current flowing through a conductor is given by
I = q/t
→ Substituting the datas we get
I = 1.6 × 10²/240
I = 0.67 ≈ 0.7 A
→ Hence current flowing through the conductor is 0.7 A
\boxed{\bold{Current=0.7\:A}}
Current=0.7A
→ Hence option d is correct.