In an arrangement of resistances, find effective resistance between points A and B

Effective resistance is the measurement of total resistance of all the resistors in a complicated circuit with two or more resistors. The resistors, in this case can either be attached in a parallel combination or a series combination.

The formula of effective resistance of a series combination of resistors can be denoted as:

$R = R_1+R_2+R_3+\ ...\ +R_n$

The formula of effective resistance of a parallel combination of resistors can be denoted as:

$R = {{1} \over R_1} + {{1} \over R_2} +\ ...\ + {{1} \over R_n}$

Therefore,

Equivalent resistance of upper branch = 5Ω + 10Ω + 15Ω = 30Ω
Equivalent resistance of lower branch = 10Ω + 20Ω + 30Ω = 60Ω

Since these resistances are in a parallel combination, it can be represented as:

$\therefore$ $R = {{1} \over R_1} + {{1} \over R_2} +\ ...\ + {{1} \over R_n}$

Hence, total equivalent resistance is 20 Ω.

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In an arrangement of resistances, find effective resistance between points A and B.

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In an arrangement of resistances, find effective resistance between points A and B.

Related Questions

CBSE CLASS XII Related Questions

2.Two copper wires having their radii in the ratio of 3 : 2 are connected in series across a battery. Find the ratio of the drift velocities of the electrons in the wires.

3.With the help of a labelled diagram, explain the principle, construction and working of an a.c. generator.

4.This ‘average velocity’ is found be few mm/s for currents in range of a few amperes. How then is current established almost the instant a circuit is closed ?

5.Write two advantages of reflecting telescope over refracting telescope.

Similar Physics Concepts

Comments

SUBSCRIBE TO OUR NEWS LETTER

2.
Two copper wires having their radii in the ratio of 3 : 2 are connected in series across a battery. Find the ratio of the drift velocities of the electrons in the wires.

3.
With the help of a labelled diagram, explain the principle, construction and working of an a.c. generator.

4.
This ‘average velocity’ is found be few mm/s for currents in range of a few amperes. How then is current established almost the instant a circuit is closed ?

5.
Write two advantages of reflecting telescope over refracting telescope.