Question

A current of 3 A flows around a circuit for 10 s. How much charge flows past a point in the circuit in this time?

Answer 1

$\bigstar$ Answer $\bigstar$

$\checkmark$ Given:

⇒ Current ( $\rm I$ ) = 3 A

⇒ Time ( t ) = 10 s

$\checkmark$ To Find:

⇒ How much charge flows in the circuit

$\checkmark$ Solution:

We know that,

$\red{\boxed{\boxed{\rm Q=I \times t}}}$

Here,

• Q = Charge
• $\rm I$ = Current
• t = Time

Units of the Given Quantities:

$\blue{\rm \implies Charge \ (Q)=Coulomb \ (C)}$

$\pink{\rm \implies Current \ (I)=Ampere \ (A)}$

$\green{\rm \implies Time \ (t)=seconds \ (s)}$

Given that,

$\rm I$ = 3 A

t = 10 s

According to the Question,

We are asked to find how much charge flows past a point in the circuit in the given time.

So,

We are asked to find Charge ( Q )

Therefore,

Substituting the above values in the Formula,

We get,

$\green{\implies \rm Q=3 \times 10 \ Coulomb}$

$\pink{\rm \implies Q=30 \ Coulomb}$

$\red{\boxed{\boxed{\rm Q=30 \ C}}}$

Hence,

Charge (Q) = 30 Coulomb