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.

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CBSE CLASS XII Related Questions

3.In a region, the electric potential varies as \(V = 10 - 50x\), where \(V\) is in volts and \(x\) is in meters. The electric field in the region is

4.Find the ratio $\dfrac{\lambda_\alpha}{\lambda_p}$ of the de Broglie wavelength $\lambda_\alpha$ associated with an alpha particle to the de Broglie wavelength $\lambda_p$ associated with a proton if both are moving with the same velocity.

5.Consider the nuclear reaction \( X \to Y + Z \). Let \( M_x \), \( M_y \), and \( M_z \) be the masses of the three nuclei X, Y, and Z respectively. Then which of the following relations hold true?

6.Two point charges -Q and Q are located at points (d, 0) and (0, d) respectively, in x-y plane. The electric field E at the origin will be:

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Comments

SUBSCRIBE TO OUR NEWS LETTER

3.
In a region, the electric potential varies as \(V = 10 - 50x\), where \(V\) is in volts and \(x\) is in meters. The electric field in the region is

4.
Find the ratio $\dfrac{\lambda_\alpha}{\lambda_p}$ of the de Broglie wavelength $\lambda_\alpha$ associated with an alpha particle to the de Broglie wavelength $\lambda_p$ associated with a proton if both are moving with the same velocity.

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