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.

    A circular coil of 100 turns and radius $\left(\frac{10}{\sqrt{\pi}}\right)$ cm carrying current of $5.0\,\text{A}$ is suspended vertically in a uniform horizontal magnetic field of $2.0\,\text{T}$. The field makes an angle $30^\circ$ with the normal to the coil. Calculate:

    (I) the magnetic dipole moment of the coil, and

    (II) the magnitude of the counter torque that must be applied to prevent the coil from turning.


      • 2.
        The resistance of a metal wire at \(20^\circ\text{C}\) is \(1.05\,\Omega\) and at \(100^\circ\text{C}\) is \(1.38\,\Omega\). Determine the temperature coefficient of resistivity of this metal.


          • 3.

            (I) The real image of an object placed between $f$ and $2f$ from a convex lens can be seen on a screen placed at the image location. If the screen is removed, is the image still there? Explain.

            (II) Plane and convex mirrors produce virtual images of objects. Can they produce real images under some circumstances? Explain.


              • 4.

                A parallel beam of monochromatic light falls normally on a single slit of width $a$ and a diffraction pattern is observed on a screen placed at distance $D$ from the slit. Explain:

                (I) the formation of maxima and minima in the diffraction pattern, and

                (II) why the maxima go on becoming weaker and weaker with its increasing number $n$.


                  • 5.

                    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) $\sqrt{3}$.


                      • 6.

                        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:

                          • 5 V
                          • 3.5 V
                          • 2.5 V
                          • Zero V
                        CBSE CLASS XII Previous Year Papers

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