Question

200 micro coulomb charges pass through a wire in 1.0 millisecond. Find the value average current in the wire.

Answer 1

➪ Question :-

$⟶$200 micro coulomb charges pass through a wire in 1.0 millisecond. Find the value average current in the wire.

➪ Given :-

$⟶$Charge in conducting wire, q

= 200μ = 200 × ${10}^{ - 6}$

$⟶$Time ,t = 1ms = ${10}^{ - 3}s$

➪ To find :-

$⟶$The current passes through a wire.

➪ Solution :-

→ The electric current flowing through the wire is given by electric charge per unit time. It is given by :

$⟶$$\boxed{\sf I = q/t }$

$\bold{\sf ⟶ \frac{200 \times {10}^{ - 6} }{ {10 }^{ - 3} }}$

$⟶$$\boxed{\sf I = 0.2A}$

So, the electric current flowing through the wire is 0.2 A.

Answer 2

$\huge\mathfrak{Answer:}$

$\large\underline{\sf{\blue{Given:}}}$

• We have been given that 200 micro coulomb charge pass through a wire
• In time 1.0 millisecond

$\large\underline{\sf{\blue{To \: Find:}}}$

• We have to find the value of average current flowing in the wire

$\large\underline{\sf{\blue{Solution:}}}$

Given that charge passing through wire

$\hookrightarrow \sf{Q = 200 \: \mu C}$

$\hookrightarrow \sf{Q = 200 \times 10^{-6} C}$

$\hookrightarrow \boxed{\sf{Q = 2 \times 10^{-4} C}}$

The charge passes through wire in time

$\hookrightarrow \sf{t = 1.0 \: millisecond}$

$\hookrightarrow \sf{t = 1 \times 10^{-3} \: s}$

$\hookrightarrow \boxed{\sf{t = 10^{-3} \: s}}$

$\sf{}$

$\large\underline{\mathfrak{\red{We \: know \: that :}}}$

Electric current is the rate of flow of electric charge through a point or a region.

$\boxed{\sf{Current = \dfrac{Charge}{Time}}}$

$\implies \sf{I = \dfrac{Q}{T}}$

$\implies \sf{I = \dfrac{2 \times 10^{-4}}{10^{-3}}}$

$\implies \sf{I = \dfrac{2}{10}}$

$\implies \boxed{\sf{I = 0.2 \: A}}$

Average value of current is 0.2 A

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$\large\purple{\underline{\underline{\mathtt{Extra \: Information:}}}}$

• Electric charge is the basic property of element which decides that how the particle is attracted by Electric and Magnetic field
• Charges are of two types : Positive and Negative Charge
• An electric current is the rate of flow of electric charge through a point or region.
• An electric current is said to exist when there is a net flow of electric charge .

$\large\purple{\underline{\underline{\mathtt{Some \: Basic \: Formulas :}}}}$

• $\sf{Charge = ne}$

• $\sf{Voltage = Current \times Resistance}$

• $\sf{Voltage = \dfrac{Work \: Done}{Charge}}$

• $\sf{Current = \dfrac{Charge}{Time}}$

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