In a balanced condition, resistance R3 has temperature coefficient 0.0004 degree C−1

As per the question, resistance R3 has a temperature coefficient of 0.0004^∘C⁻¹in a balanced condition. And, the temperature of R3 is increased by 100^∘C. In order to determine the voltage generated between S and T, we have to consider the following formula:

R¹= R₀ (1 + $\alpha$$\Delta$T)

Values of Resistance

Values of Resistance

Thus, after replacing the values, we get:

⇒ 300 (1 + 0.0004 $\times$ 100)

Therefore, R¹ = 312 $\Omega$

I₁ = ${{50} \over 370}$A

I₂ = ${{50} \over 600}$A

⇒ V_s – ${{50} \over 370}$ $\times$ 312 + ${{50} \over 600}$ $\times$ 500 = V_T

V_s– V_T = 0.26 Volts (V)

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In a balanced condition, resistance R3 has temperature coefficient 0.0004 degree C 1. With temperature of R3 increased by 100 degree C, find voltage generated between S and T.

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CBSE CLASS XII Related Questions

1.A ray of light MN is incident normally on the face corresponding with side AB of a prism with an isosceles right-angled triangular base ABC. Trace the path of the ray as it passes through the prism when the refractive index of the prism material is (i) $\sqrt{2}$, and (ii) $\sqrt{3}$.

2.A square loop of side 0.50 m is placed in a uniform magnetic field of 0.4 T perpendicular to the plane of the loop. The loop is rotated through an angle of $60^\circ$ in 0.2 s. The value of emf induced in the loop will be:

3.The number of free electrons per unit volume ($\text{m}^3$) in a wire made of copper (resistivity $1.72 \times 10^{-8}\,\Omega\,\text{m}$) is $8.5 \times 10^{28}$. Calculate the average number of collisions made by an electron in one second when an electric field is maintained in the wire.

4.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?

5.An electron is revolving around a proton in a circular orbit of radius $r$. Using classical physics, prove that the ratio of value of the angular momentum and the value of magnetic moment of electron revolving in the orbit is a constant.

6.Draw the plot of potential energy of a pair of nucleons as a function of their separation. Write two important conclusions that can be drawn from this plot.

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SUBSCRIBE TO OUR NEWS LETTER

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A square loop of side 0.50 m is placed in a uniform magnetic field of 0.4 T perpendicular to the plane of the loop. The loop is rotated through an angle of $60^\circ$ in 0.2 s. The value of emf induced in the loop will be:

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An electron is revolving around a proton in a circular orbit of radius $r$. Using classical physics, prove that the ratio of value of the angular momentum and the value of magnetic moment of electron revolving in the orbit is a constant.

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