Question

find the total resistance of current ​

Answer 1

SoluTion:

According to the above attached diagram,

Resistor 1 and 2 are in series combination. (Say M)

We know that,

$\large{\boxed{\sf{R_{s} = R_{1} + R_{2} + R_{3} + ...}}}$

$\longrightarrow$ Rs = 7 + 3

$\longrightarrow$ Rs = 10 Ω

Now, Resistor 3rd and M are in parallel combination.

We know that,

$\large{\boxed{\sf{\dfrac{1}{R_{p}} = \dfrac{1}{R_{1}} + \dfrac{1}{R_{2}}}}}$

$\longrightarrow$ 1/Rp = 1/10 + 1/10

$\longrightarrow$ 1/Rp = 2/10

$\longrightarrow$ Rp = 10/2

$\longrightarrow$ Rp = 5 Ω

Now, Resistor 4th, 5th are in series combination. (Say N)

$\longrightarrow$ Rs = 5 + 5

$\longrightarrow$ Rs = 10 Ω

Again, Resistor M and N are in parallel combination.

$\longrightarrow$ 1/Rt = 1/5 + 1/10

$\longrightarrow$ 1/Rt = 3/10

$\longrightarrow$ Rt = 10/3 Ω

Hence, final answer will be 10/3 Ω.

Answer 2

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