Question

Three resistors of resistance 2 ohm, 4 ohm, 6 ohm are connected in parallel across a battery of 12 volt. Calculate the total current flowing through the combination.​

Answer 1

Answer:

current = 13.08 A

Explanation:

calculate resistance in parallel

then use formula V = IR

u will go ahead with correct ans...

Answer 2

Given:

• Resistance = 2Ω, 4Ω, 6Ω
• Potential difference = 12 Volt

To find:

→ Total current = ?

Method:

(diagram is given in attachment)

$\bf{ \dfrac{1}{R _{effective}} = \dfrac{1}{R _{1} } + \dfrac{1}{R _{2}} + \dfrac{1}{R _{3}} } \\ \\ \\ \implies \sf{ \dfrac{1}{R_{effective}} = \dfrac{1}{2} + \dfrac{1}{4} + \dfrac{1}{6} } \\ \\ \\ \implies \sf{\dfrac{1}{R} = \dfrac{6 + 3 + 2}{12} } \\ \\ \\ \implies \sf{ \dfrac{1}{R} = \dfrac{11}{12} } \\ \\ \\ \implies \sf{R = 12 \div 11} \\ \\ \\ \implies \boxed{ \bf{R = \dfrac{12}{11} }}$

By Ohms law,

Voltage is directly proportional to Current provided the temperature remains the same.

$Voltage = Current \times Resistance$

$\sf{12 = Current \times \dfrac{12}{11} } \\ \\ \implies \sf{current = 12 \times \dfrac{11}{12} } \\ \\ \therefore \boxed{ \boxed{ \bf{Current = 11 \: amperes}}}$

Know more:

• Effective resistance is the total resistance in the circuit
• When resistors are connected in parallel, we use the above formula. But when they are connected in series, we just add the resistance to get the effective resistance.