Question

What is the current if 12 ohm and 4 ohm resistors are connected in parallel and 12 volt potential difference is applied

Answer 1

Answer:

For parallel connection,

Total Resistance:1/R=(1/12+1/4)=1/3

R=3 ohm

V=12 volt

Current: I=V/R=12/3=4 amp

Answer 2

$\huge\purple{ \underline{ \boxed{\mathbb{\red{QUESTION : }}}}}$

What is the current if 12 ohm and 4 ohm resistors are connected in parallel and 12 V potential difference is applied ?

$\huge\purple{ \underline{ \boxed{\mathbb{\red{ANSWER : }}}}}$

• Current flowing through circuit is 4 Ampere .

$\huge\purple{ \underline{ \boxed{\mathbb{\red{EXPLANATION : }}}}}$

$\green{ \large \underline{ \mathbb{\underline{GIVEN : }}}}$

• Resistors of 12 ohm and 4 ohm are connected in parallel .

• Potential Difference ( V ) = 12

• $\sf R_1 = 12 \: Ω$

• $\sf R_2 = 4 \: Ω$

$\green{ \large \underline{ \mathbb{\underline{TO \: FIND : }}}}$

• Value of current ( I ) .

$\green{ \large \underline{ \mathbb{\underline{FORMULAS \: USED: }}}}$

$\purple{ \boxed{ \begin{array}{l} \textsf{Resistance of circuit when two resistors} \\ \\ \textsf{are connected in parallel is :-} \\ \\ \displaystyle \sf \frac{1}{R_P} = \frac{1}{R_1} + \frac{1}{R_2} \end{array}}}$

$\purple{ \boxed{ \begin{array}{l} \red{ \bigstar \: \textsf{Ohm's Law : }} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \longrightarrow \sf V = IR \end{array}}}$

$\green{ \large \underline{ \mathbb{\underline{SOLUTION: }}}}$

$\red{ \underline{ \underline{\textsf{Total resistance of circuit : }}}}$

$\displaystyle \sf \longrightarrow \frac{1}{R_P} = \frac{1}{R_1} + \frac{1}{R_2} \: \\ \\ \displaystyle \sf \longrightarrow \frac{1}{R_P} = \frac{1}{12} + \frac{1}{4} \: \: \: \: \\ \\ \displaystyle \sf \longrightarrow \frac{1}{R_P} = \frac{1 + 3}{12} \: \: \: \: \: \: \: \\ \\ \displaystyle \sf \longrightarrow \frac{1}{R_P} = \frac{4}{12} \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \displaystyle \sf \longrightarrow \frac{1}{R_P} = \frac{1}{3} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \displaystyle \sf \longrightarrow R_P = 3 \: Ω \: \: \: \: \: \: \: \: \: \: \: \:$

$\red{ \underline{ \underline{\textsf{Calculating Current ( I ) : }}}}$

$\longrightarrow \sf V = IR \: \: \: \: \:\\ \\\longrightarrow \sf 12 = I(3) \: \\ \\\longrightarrow \sf 12 = 3I \: \: \: \: \\ \\ \longrightarrow \sf 3I = 12 \: \: \: \: \\ \\ \longrightarrow \sf I = \frac{12}{3} \: \: \: \: \: \\ \\ \longrightarrow \sf I =4 \: A \: \: \: \:$

$\purple{\boxed{\begin{array}{l} \textsf{Current flowing through circuit is 4 Ampere .} \end{array}}}$

$\green{ \large \underline{ \mathbb{\underline{KNOW \: MORE: }}}}$

• Resistance

Resistance is a measure of the opposition to current flow in an electrical circuit .

• Potential Difference

Potential difference is the difference in the amount of energy that charge carriers have between two points in a circuit .

• Current

Current is the rate of flow of electric charge .

• Ohm's Law

Ohm’s law states that the voltage across a conductor is directly proportional to the current flowing through it, provided all physical conditions and temperature remain constant.

• Ampere

One ampere is equal to a flow of one coulomb of charge per second .

• Volt

One Volt is defined as energy consumption of one joule per electric charge of one coulomb .

• Ohm

One ohm is equal to the resistance of a conductor through which a current of one ampere flows when a potential difference of one volt is applied to it .