Question

define resistance. find the equivalent resistance of a circuit when three resistance each of of 10 ohm are connected in parallel

Answer 1

Answer:

10/3 Ω

Explanation:

Resistance:

• It is the characteristic property of a material to oppose the flow of current.
• It's SI unit is ohm.
• Ohm is denoted by the greek later Ω.

Now, It's said that,

3 resistance each of 10Ω are connected in parallel.

To find the equivalent resistance.

We know that,

In parallel combination,

Equivalent resistance, Req is given by,

1/Req = 1/R1 + 1/R2 + .....

Therefore, we have,

=> 1/Req = 1/10 + 1/10 + 1/10

=> 1/Req = 3/10

=> Req = 10/3

Hence, equivalent resistance is 10/3 Ω.

Answer 2

SoluTion:

Resistance: The opposition of flow of current is called resistance. In other words, it is the ratio of voltage and current flowing through any conductor.

S.I Unit: It's S.I unit is ohm ( Ω ).

Factors on which it depends:

• Temperature of wire
• Cross section area of wire
• nature of material of wire
• length of wire

$\rule{200}2$

Numerical:

Given:

• Three resistors of 10 Ω

To find :

• Equivalent resistance when connected in parallel.

Explanation:

Equivalent resistance when resistors connected in parallel -

$\large{\boxed{\sf{\red{\dfrac{1}{R_{(p)}} = \dfrac{1}{R_1} + \dfrac{1}{R_2} + \dfrac{1}{R_3}}}}}$

†Putting the values,

$\longrightarrow$ $\sf{\dfrac{1}{R_{(p)}} = \dfrac{1}{10} + \dfrac{1}{10} + \dfrac{1}{10}}$

†Taking LCM,

$\longrightarrow$ $\sf{\dfrac{1}{R_{(p)}} = \dfrac{1+1+1}{10}}$

$\longrightarrow$ $\sf{\dfrac{1}{R_{(p)}} = \dfrac{3}{10}}$

†Reciprocaling it,

$\longrightarrow$ $\blue{\sf{R_{(p)} = \dfrac{10}{3} \Omega}}$

Hence, equivalent resistance will be of $\sf{\dfrac{10}{3} \Omega}$.