Name: Electrical Resistance and Factors Affecting It
Uploaded: 2019-07-19
Duration: 3 min 1 s
Description: A moving car slows down if the road has many vehicles and speed breakers. Similarly, electric current also gets affected when it passes through a conductor....

Question

Calculate effective resistance in figure $1, 2 and 3$ across $AB$ .

Accepted Answer

(i) Data Given : Five resistors given across AB are : $(3 Ω Series 4 Ω) Parallel (7 Ω) Parallel (5 Ω Series 2 Ω)$

Hence,

$R_{34} = 3 + 4 = 7 Ω$

$R_{52} = 5 + 2 = 7 Ω$

Now, all three resistances ( $R_{34}, R_{7} & R_{52}$ ) are in parallel with each other.

$\frac{1}{R_{e q}} = \frac{1}{7} + \frac{1}{7} + \frac{1}{7}$

$R_{e q} = 2.33 Ω$

(ii) Fig -2

Data Given : Five resistors given across AB are :

$(1.5 Ω Series 1.5 Ω) Parallel (3 Ω) Parallel (1.5 Ω Series 1.5 Ω)$

Hence, the modified figure will be like this,

Now, we can clearly see that all the three resistors are in parallel,

$\frac{1}{R_{e q}} = \frac{1}{3} + \frac{1}{3} + \frac{1}{3}$

$R_{e q} = 1 Ω$

(iii) Fig - 3

Data Given : Five resistors given across AB are :

$4 Ω Series [(2 Ω Series 4 Ω) Parallel (3 Ω)] Series (6 Ω)$

$R_{24} = 2 + 4 = 6 Ω$

this $6 Ω$ resistor is parallel to $3 Ω$

$\frac{1}{R_{243}} = \frac{1}{6} + \frac{1}{3}$

$R_{243} = 2 Ω$

All resistors are in series

$R_{e q} = 4 + 2 + 6 = 12 Ω$

Calculate effective resistance in figure $1, 2 and 3$ across $AB$ .

Important Questions on Current Electricity

Learn and Prepare for any exam you want !

Calculate effective resistance in figure 1, 2 and 3 across AB.

Important Questions on Current Electricity

Learn and Prepare for any exam you want !

Calculate effective resistance in figure $1, 2 and 3$ across $AB$ .