Question

equivalent resistance between a and b .​

Answer 1

All the resistors are in series.

So, R = 2R + 2R + 2R + 2R + 2R

     R = 10R

Hope this helps...   : )

Answer 2

$\bold{RESISTANCE}$

Resistance is the obstruction offered in the path of current.

For a series combination , total resistance is the sum of all resistances consitituting the ciruit.

$\bold{R_s = R_1 + R_2 + R_3 + n \: th \: term}$

When circuit is series,

◼Current have only one path to flow, so same current forceach resistor.

◼Since, potential difference is directional proportional to resistance , so it varies tbrough circuit.

◼For a parallel combination ,

Total resistance is the sum of reciprocs of all resistances.

When circuit is parllel,

◼Current have only several pathd to flow, so current for each resistor varies.

◼Since, potential difference is directional proportional to resistance , so through circuit remains same

$\bold{\frac{1}{R_p}= \frac{1}{R_1 }+ \frac{1}{R_2 } + \frac{1}{R_3 } + n \: th \: term}$

◼To find resistance between A and B

Since , all resistor are in series to the resistors in parallel.

$\bold{\frac{1}{R_p}= + \frac{1}{2} + \frac{1}{4 } + \frac{1}{2}}$

$\bold{\frac{1}{R_p}=\frac{5}{4}}$

$\bold{R_p = 1.25 \: ohm}$

Since, resistor with 2 ohm resistance is in series so,

$\bold{\mathsf{R_s = 2 + 1.25 Ohm}}$

$\boxed{\mathsf{R = 3.25 \: ohm}}$