For the resistor combination, find the equivalent resistance between M and N.

As per what is given, the resistance of the given resistors are = R1, R2, R3, and R4. In order to determine the Equivalent Resistance (R_eq) between M and N, we have to assume the following diagram:

Combination of Resistors

From the figure, R3 and R4 are in parallel combinations. We are already aware that the total resistance can be expressed as follows when two conductors are connected in parallel:

Thus,

1/Rp = 1/R3 + 1/R4

= R4 + R3/R3 x R4

= R3 \(\times\) R4/ R4 + R3

Now, it is clear that R1, R2 and Rp are in series. Hence, the equivalent resistance can be represented as:

⇒ R_eq = R1 + R2 + Rp

= R1 + R2 + R3 x R4/ R4 + R3

Therefore, the equivalent resistance, (R_eq) between points M and N equals R1 + R2 + R3 x R4/ R4 +R3.

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For the resistor combination, find the equivalent resistance between M and N.

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For the resistor combination, find the equivalent resistance between M and N.

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CBSE CLASS XII Related Questions

1.Photoemission of electrons occurs from a metal (\( \phi_0 = 1.96 \, \text{eV} \)) when light of frequency \( 6.4 \times 10^{14} \, \text{Hz} \) is incident on it. Calculate: Energy of a photon in the incident light, The maximum kinetic energy of the emitted electrons, and The stopping potential.

2. If Bohr’s quantization postulate (angular momentum \( = \frac{nh}{2\pi} \)) is a basic law of nature, it should be equally valid for the case of planetary motion also. Why, then, do we never speak of quantization of orbits of planets around the Sun? Explain.

4. Write any two features of nuclear forces.

5.Suppose a pure Si crystal has \( 5 \times 10^{28} \) atoms per \( \text{m}^3 \). It is doped with \( 5 \times 10^{22} \) atoms per \( \text{m}^3 \) of Arsenic. Calculate majority and minority carrier concentration in the doped silicon. (Given: \( n_i = 1.5 \times 10^{16} \, \text{m}^{-3} \))

6.Two small identical metallic balls having charges \( q \) and \( -2q \) are kept far at a separation \( r \). They are brought in contact and then separated at distance \( \frac{r}{2} \). Compared to the initial force \( F \), they will now:

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SUBSCRIBE TO OUR NEWS LETTER

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Photoemission of electrons occurs from a metal (\( \phi_0 = 1.96 \, \text{eV} \)) when light of frequency \( 6.4 \times 10^{14} \, \text{Hz} \) is incident on it. Calculate: Energy of a photon in the incident light, The maximum kinetic energy of the emitted electrons, and The stopping potential.

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If Bohr’s quantization postulate (angular momentum \( = \frac{nh}{2\pi} \)) is a basic law of nature, it should be equally valid for the case of planetary motion also. Why, then, do we never speak of quantization of orbits of planets around the Sun? Explain.

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Write any two features of nuclear forces.

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Suppose a pure Si crystal has \( 5 \times 10^{28} \) atoms per \( \text{m}^3 \). It is doped with \( 5 \times 10^{22} \) atoms per \( \text{m}^3 \) of Arsenic. Calculate majority and minority carrier concentration in the doped silicon. (Given: \( n_i = 1.5 \times 10^{16} \, \text{m}^{-3} \))

6.
Two small identical metallic balls having charges \( q \) and \( -2q \) are kept far at a separation \( r \). They are brought in contact and then separated at distance \( \frac{r}{2} \). Compared to the initial force \( F \), they will now: