Physics, asked by dakshwankhade42, 9 months ago

10 raise to power 18 electrons move from point a to point B inside a metal wire in 4 seconds what is the current passing through the wire

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Answers

Answered by samarislamlaskar
4

Answer:

0.04 A

Explanation:

Charge on an electron = 1.6*10^(-19) C

So, total charge = number of electrons * charge on an electron

                          =  10^18 * 1.6 * 10^(-19) = 0.16 C

Current = Charge/Time  = 0.16/4 = 0.04 Ampere.

Answered by Intelligentcat
94

\Large{\boxed{\underline{\overline{\mathfrak{\star \: </p><p>QuEsTiOn :- \: \star}}}}}

10^18 electrons move from point A to point B inside a metal wire in 4 seconds. What is the current passing through the wire?

\huge\underline{\overline{\mid{\bold{\pink{ANSWER-}}\mid}}}

\red{\bigstar} Current [A]

\huge\leadsto{\sf\purple{0.4\: A}}

Now ,

\Large{\underline{\underline{\bf{GiVen:-}}}}

❥ 10¹⁸ electrons move from point A to point B inside a metal wire in 4 seconds.

❥ No. of Electrons = 10¹⁸

❥ Time = 4 second

\Large{\underline{\underline{\bf{Find:-}}}}

❥ What is the Current passing through the wire =?

\Large{\underline{\underline{\bf{SoLuTion:-}}}}

Here we go !

As we all know

  \:  \:  \:  \:  \:  \large{ \bf{ \boxed{ \bold{ I =  \dfrac{Q}{t} }}}}

Where ,

Current = " I "

Charge = "Q "

Time = "T "

We know the Formula :+

\red{\bigstar} Q = ne [W]

Where ,

Charge = " Q "

No. of Electrons = " n "

Charge on electron = " e "

Therefore '

 \\  { \bold{Q =  {10}^{18} \times 1.6 \times  {10}^{ - 19} \:  \:  [  \: \: e=1.6 \times  {10}^{ - 19}  ]}}  \\

 \\ { \bold{Q =    1.6 \times  {10}^{ - 1} \:  \:}}  \\

\underline{\boxed{\textsf{Q= {\textbf{0.6 c}}}}} \qquad\qquad \bigg\lgroup\bold{Charge} \bigg\rgroup

Now , Let's find out current simply by applying formula :-

  \\ { \bold{ I =  \dfrac{Q}{t} }} \\

  \\  { \bold{ I =  \dfrac{0.16}{4} }} \\

\therefore\underline{\boxed{\textsf{I = {\textbf{0.4A}}}}} \qquad\qquad \bigg\lgroup\bold{Current} \bigg\rgroup

\Large{\underline{\underline{\bf{Additional \: Information:-}}}}

✦ What is Current ?

↠ Current is the rate at which electrons flow past a point in a complete electrical circuit. At its most basic, current = flow.

↠ It expresses the quantity of electrons (sometimes called "electrical charge") flowing past a point in a circuit over a given time.

✦ How to calculate Current ?

↠ Current is usually denoted by the symbol I. Ohm's law relates the current flowing through a conductor to the voltage V and resistance R; that is, V = IR. An alternative statement of Ohm's law is I = V/R.

✦ What is the unit of Charge and Electric Current ?

↠Unit of electric charge is coulomb or C, unit of electric current is ampere or A.

Note :-

Ohms Law and Power

\sf\underline{\purple{\:\:\: \: \: To\: Find \: the \: Voltage ( V ) :- \:\:\:}} \\ \\[ V = I x R ] V (volts) = I (amps) x R (Ω)

\sf\underline{\pink{\:\:\: \: \: To\: Find \: the \: Current ( I ) :- \:\:\:}} \\ \\ [ I = V ÷ R ] I (amps) = V (volts) ÷ R (Ω)

\sf\underline{\purple{\:\:\: \: \: To\: Find \: the \: Resistance (R ) :- \:\:\:}} \\ \\ [ R = V ÷ I ] R (Ω) = V (volts) ÷ I (amps)

\sf\underline{\pink{\:\:\: \: \: To\: Find \: the \: Power ( P ) :- \:\:\:}} \\ \\ [ P = V x I ] P (watts) = V (volts) x I (amps)

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