Question

A student has connected a battery of 12V in a series combination of resistors 3Ω, 4Ω, 5Ω and 12Ω. Current flowing through the 12Ω resistor is ____________________. (1 Point)

Answer 1

Given :

▪ Four identical resistors of resistances 3Ω, 4Ω, 5Ω and 12Ω are connected in series with a battery of volatage 12V.

To Find :

▪ Current through 12Ω resistor.

Concept :

☞ As per ohm's law, current passing through a conductor is directly proportional to the applied pd.

☞ We know that, Current flow in all resistors remains same in series connection.

Calculation :

✴ Eq. resistance :

→ Req = R1 + R2 + R3 + R4

→ Req = 3 + 4 + 5 + 12

→ Req = 24Ω

✴ Current flow :

→ V = IReq

→ 12 = I×24

→ I = 12/24

→ I = 0.5A

Current flowing through 12Ω resistor = 0.5A

Answer 2

$\bigstar$ $\sf{\green{\underline{\underline{\orange{CONCEPTS:-}}}}}$

• when resistors are connected in series and ask that “Current flowing through any one of those resistor”, then

1. First calculate ‘The Equivalent Resistance’ .
2. Then Using Ohm's Law to find Current Flowing through that resistor .

• We also know that, current flowing through all resistor is remain same in series connection .

$\bigstar$ $\sf{\green{\underline{\underline{\orange{Given:-}}}}}$

(☞ A student has connected a battery of 12V in series combination of resistors 3 Ohm , 4 Ohm , 5 Ohm and 12 Ohm .

• Voltage (V) = 12 V
• ${R_1\:=\:3\:Ohm}$
• ${R_2\:=\:4\:Ohm}$
• ${R_3\:=\:5\:Ohm}$
• ${R_4\:=\:12\:Ohm}$

$\bigstar$ $\sf{\green{\underline{\underline{\orange{To\:Find:-}}}}}$

(☞ Current flowing through 12 Ohm resistor = ?

$\bigstar$ $\sf{\green{\underline{\underline{\orange{SOLUTION:-}}}}}$

(☞ Equivalent Resistance;

${R_{eq}}$ = ${R_1\:+\:R_2\:+\:R_3\:+\:R_4}$

$\tt{\implies\:R_{eq}\:=\:3\:+\:4\:+\:5\:+\:12}$

$\tt{\implies\:R_{eq}\:=\:24\:Ohm}$

(☞ Voltage (V) = 12 V

$\bigstar$ FORMULA:-

${Current\:(I)\:\:={\dfrac{V}{R_{eq}}}}$

$\tt{\implies\:I\:=\:{\dfrac{12\:V}{24\:Ohm}}}$

$\tt{\implies\:I\:=\:0.5\:Ampere}$

$\bigstar\:\underline{\boxed{\bf{\red{Required\:Answer\::0.5\:A}}}}$