An electric current of 3mA flows through a circuit for 30 minutes. The amount of charge flowing through the conductor is
Answers
Given Question:
An electric current of 3A flows through a circuit for 30 minutes. The amount of charge flowing through the conductor is?
Required Solution:
In order to find the charge flowing through it we need to convert minutes to its standard form.
Given:
- I ( Current ) = 3A
- t ( time ) = 30 minutes = 1800 sec
Converting to its SI unit-
→ 30 minutes = ( 30 × 60 )sec
→ 30 minutes = 1800 seconds
To find :
- Q ( Amount of charge )
Calculation:
→ I = Q/t
→ 3A = Q/1800sec
→ Q = 3 × 1800
→ Q = 5400 C
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Additional Information :
- I = Q/t
Where,
➭I is current and its SI unit is Ampere ( A )
➭Q is charge and its SI unit is Coulomb ( C )
➭t is time and its SI unit is seconds ( sec )
- V = W/Q
➭ V is potential difference and its SI unit is volts ( V )
➭W is work done and its SI unit is Joule ( J )
➭Q is charge and its SI unit is Coulomb ( C )
- V = IR ( Ohm's law )
➭ V is potential difference and its SI unit is volts ( V )
➭I is current and its SI unit is Ampere ( A )
➭R is resistance and its SI unit is ohm ( )
- P = W/t
➭P is power and its SI unit is Watt( W )
➭W is work done and its SI unit is Joule ( J )
➭t is time and its SI unit is seconds ( sec ).
_______________________________
i
- I ( Current ) = 3A
- t ( time ) = 30 minutes = 1800 sec
- Converting to its SI unit-
- → 30 minutes = ( 30 × 60 )sec
- → 30 minutes = 1800 seconds
- Q ( Amount of charge )
- → I = Q/t
- → 3A = Q/1800sec
- → Q = 3 × 1800
- → Q = 5400 C