Question

four resistance each of 10 ohm are connected to form a square as shown in fig. the equivalent resistance between two points on any one side (ab) is: (1) 40 ohm (2) 20ojm (3) 10 ohm (4) 7.5 ohm​

Answer 1

Pls Refer the attachment

I hope this helps ( ╹▽╹ )

Answer 2

Given:

• 4 resistors of 10 ohm are connected to form a square.

• The terminals are two points on one side.

To find:

• Equivalent resistance?

Calculation:

With the given terminals, we can say that three resistances (each of 10 ohm) are in series combination.

Net resistance = 10 + 10 + 10 = 30 ohm.

And this combination is in parallel combination to 10 ohm.

So, equivalent resistance :

$\dfrac{1}{R} = \dfrac{1}{30} + \dfrac{1}{10}$

$\implies \dfrac{1}{R} = \dfrac{1 + 3}{30}$

$\implies \dfrac{1}{R} = \dfrac{4}{30}$

$\implies R = \dfrac{30}{4}$

$\implies R = 7.5 \: ohm$

So, net resistance of circuit is 7.5 ohm (option 4)