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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If both the number of protons and the neutrons are conserved in each nuclear reaction, in what way is mass converted into energy (or vice versa) in a nuclear reaction? Explain.

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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. Draw the number of scattered particles versus the scattering angle graph for scattering of alpha particles by a thin foil. Write two important conclusions that can be drawn from this plot.

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3. Write any two features of nuclear forces.

4.Write the expression for the magnetic field due to a current element in vector form. Consider a 1 cm segment of a wire, centered at the origin, carrying a current of 10 A in positive x-direction. Calculate the magnetic field \( \mathbf{B} \) at a point \( (1 \, \text{m}, 1 \, \text{m}, 0) \).

5. If both the number of protons and the neutrons are conserved in each nuclear reaction, in what way is mass converted into energy (or vice versa) in a nuclear reaction? Explain.

6.What is displacement current (\( i_d \))? Considering the case of charging of a capacitor, show that \( i_d = \varepsilon_0 \frac{d\Phi_E}{dt} \). What is the value of \( i_d \) for a conductor across which a constant voltage is applied?

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SUBSCRIBE TO OUR NEWS LETTER

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Draw the number of scattered particles versus the scattering angle graph for scattering of alpha particles by a thin foil. Write two important conclusions that can be drawn from this plot.

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Write any two features of nuclear forces.

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