
When 1 coulomb of charge flows through a conductor in 1 sec, then the current passing through the conductor is?
$
A.1Hp \\
B.1A \\
C.1C \\
D.1P \\
$
Answer
597k+ views
Hint: Here we will proceed by using the formula for electric current then with the help of formula we can easily find out the current passing through the conductor.
Formula used:
Electric current - $I = \dfrac{Q}{T}$
Where, $I$ is electric current
$Q$ is the quantity of charge flowing through a conductor
$T$ is the time taken by the charge.
Complete step-by-step solution -
Electric current – It is defined as the quantity of charge moving in a given time.
Here it is given that,
Value of a charge which flows through a conductor $'Q'$= 1 coulomb.
And, Time taken by the same charge to flow through the conductor $ = 1\sec $
We have to find the value of current $'I'$, which flows through the conductor.
We know that,
$I = \dfrac{Q}{T}$ …. (1)
It is given that conductor Q is 1 coulomb. And T is 1 sec.
$
I = ? \\
Q = 1coulomb \\
T = 1\sec \\
$
Put these values in the equation (1), we get
$I = \dfrac{{1coulomb}}{{1\sec }}$
We can also write it as 1coulomb per second.
We know that the S.I. unit current is ampere.
And also 1 Ampere $ = \dfrac{{1coulomb}}{{1\sec }}$
$1ampere = \dfrac{{1c}}{{1s}}$
Therefore, current $'I'$ in this case will be 1 Ampere.
Hence, option B is correct.
Note – Whenever we come up with this type of question, where we are asked to find the current passing through a conductor. Then we first write the formula for electric current. After that, in place of formula we will put the values. By using this approach, we will get our answer.
Formula used:
Electric current - $I = \dfrac{Q}{T}$
Where, $I$ is electric current
$Q$ is the quantity of charge flowing through a conductor
$T$ is the time taken by the charge.
Complete step-by-step solution -
Electric current – It is defined as the quantity of charge moving in a given time.
Here it is given that,
Value of a charge which flows through a conductor $'Q'$= 1 coulomb.
And, Time taken by the same charge to flow through the conductor $ = 1\sec $
We have to find the value of current $'I'$, which flows through the conductor.
We know that,
$I = \dfrac{Q}{T}$ …. (1)
It is given that conductor Q is 1 coulomb. And T is 1 sec.
$
I = ? \\
Q = 1coulomb \\
T = 1\sec \\
$
Put these values in the equation (1), we get
$I = \dfrac{{1coulomb}}{{1\sec }}$
We can also write it as 1coulomb per second.
We know that the S.I. unit current is ampere.
And also 1 Ampere $ = \dfrac{{1coulomb}}{{1\sec }}$
$1ampere = \dfrac{{1c}}{{1s}}$
Therefore, current $'I'$ in this case will be 1 Ampere.
Hence, option B is correct.
Note – Whenever we come up with this type of question, where we are asked to find the current passing through a conductor. Then we first write the formula for electric current. After that, in place of formula we will put the values. By using this approach, we will get our answer.
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