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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