A battery with 10V emf and 3  internal resistance is connected to a resistor with current 0.5A. What is the terminal voltage when the circuit is closed?

When current is drawn from a cell, the potential difference between a cell’s electrodes, when current is drawn is known as its Terminal Voltage. As per the given question, the following can be expressed:

  • The E.M.F of battery = 10 V
  • The internal resistance, r = 3 \(\Omega\)
  • Current, I = 0.5A
  • Resistance = R

According to Ohm’s law, we can obtain:

\(I = {{E} \over (R + r)}\)

Therefore, R = 17 \(\Omega\)

Terminal voltage of resistor = V

Now, as per what Ohm’s Law specifies,

V = I \(\times\) R

Hence, Voltage, V = 8.5 V


Related Questions:

  1. An electric lamp of 100 \(\Omega\), a toaster of resistance 50 \(\Omega\), and a water filter of resistance 500 \(\Omega\) are connected in parallel to a 220 V source. What is the resistance of an electric iron connected to the same source that takes as much current as all three appliances, and what is the current through it?
  2. A battery of 9 V is connected in series with resistors of 0.2 Ohms, 0.3 Ohms, 0.4 Ohms, 0.5Ohms and 12Ohms respectively. How much current would flow through the 12 ohm resistors?
  3. How Do You Determine The Resistance Of A Resistor?
  4. Why is the series arrangement not used for domestic circuits?
  5. Why is the curve representing Ohm's law linear?
  6. An electric bulb is connected to a 220V power supply line, if the bulb draws a current of 0.5A, calculate the power of the bulb.
  7. The resistance R = V/I, where V=100 ± 5.0V and I = 10 ± 0.2A. What is the total error in R?
  8. What is the necessary condition for a conductor to obey Ohm's Law?
  9. State Ohms law. How can it be verified experimentally?
  10. What are the 3 forms of Ohm's law?
  11. What Is Ohm's Law Graph?

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CBSE CLASS XII Related Questions

  • 1.
    Read the following paragraph and answer the questions that follow.
    A p-type or n-type semiconductor can be converted into a p-n junction by doping it with suitable impurity. The motion of majority charge carriers causes diffusion current across the junction while the barrier electric field causes motion of minority carriers for drift current. In case of unbiased diode, the diffusion and drift currents are equal. This equilibrium is disturbed by the biasing batteries. Diodes, therefore, allow currents in one direction. This property of diode is used in making rectifiers.


      • 2.
        Two metal spheres of radii $r_1$ and $r_2$ ($> r_1$) having charges $q_1$ and $q_2$ respectively kept in air, are brought in contact. Which of the following statements is not correct ?

          • The total charge of the two spheres is conserved.
          • Both spheres attain the same potential.
          • The final potential of the system equals $\frac{1}{4\pi\epsilon_0} \frac{(q_1 + q_2)}{(r_1 + r_2)}$
          • The final potential of the system equals $\frac{1}{4\pi\epsilon_0} \frac{(q_1 + q_2) (r_1 + r_2)}{r_1 r_2}$

        • 3.
          With the help of a labelled diagram, explain the principle, construction and working of an a.c. generator.


            • 4.
              A student sets up the circuit as shown in the figure to find the value of unknown resistance X and records a set of readings of the voltmeter and the ammeter by using the rheostat.


                • 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?

                    • \( (M_x - M_z)<M_y \)
                    • \( (M_x - M_y)<M_z \)
                    • \( M_x>(M_y + M_z) \)
                    • \( M_x<(M_y + M_z) \)

                  • 6.
                    An astronomical telescope consists of two converging lenses. One of them of large aperture and large focal length is called objective lens and the other one, of smaller focal length and smaller aperture is called the eyepiece. It is used to see distant objects which are not seen clearly with naked eyes. The image formed by the objective lens acts as an object for the eyepiece and the final image produced by the eyepiece is magnified.

                      CBSE CLASS XII Previous Year Papers

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