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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CBSE CLASS XII Related Questions

1.
The resistance of a metal wire at \( 20^\circ \text{C} \) is \( 1.05 \, \Omega \) and at \( 100^\circ \text{C} \) is \( 1.38 \, \Omega \). Determine the temperature coefficient of resistivity of this metal.

2.
Derive an expression for the capacitance of a parallel plate capacitor of plate area A and plate separation d with air present between the plates.

3.
Write two advantages of reflecting telescope over refracting telescope.

Similar Physics Concepts

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

Related Questions

CBSE CLASS XII Related Questions

1. The resistance of a metal wire at \( 20^\circ \text{C} \) is \( 1.05 \, \Omega \) and at \( 100^\circ \text{C} \) is \( 1.38 \, \Omega \). Determine the temperature coefficient of resistivity of this metal.

2.Derive an expression for the capacitance of a parallel plate capacitor of plate area A and plate separation d with air present between the plates.

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

Similar Physics Concepts

Comments

SUBSCRIBE TO OUR NEWS LETTER

1.
The resistance of a metal wire at \( 20^\circ \text{C} \) is \( 1.05 \, \Omega \) and at \( 100^\circ \text{C} \) is \( 1.38 \, \Omega \). Determine the temperature coefficient of resistivity of this metal.

2.
Derive an expression for the capacitance of a parallel plate capacitor of plate area A and plate separation d with air present between the plates.

3.
Write two advantages of reflecting telescope over refracting telescope.