Determine the following from an electric circuit a) Effective resistance of 8 ohm resistors combination b) Flowing current via 4 ohm resistor

In order to determine the following from the electric circuit, we have to schematically represent it first.

Electric Circuit

Effective Resistance of 8-ohm Resistors Combination

There are two 8Ω resistors that are parallelly connected with one another, therefore their effective resistance equals:

⇒ 1/RP = 1/8 + 1/R

⇒ 1/RP = 1/4

RP = 4Ω

The Total Resistance in the given Circuit

As per the question, the following can be shown:

⇒ R = 4Ω + RP

⇒ R = 4Ω + 4Ω

R = 8Ω

Current Passing Via the Circuit

The current that passes through the circuit

⇒ I = V/R

⇒ I = 8/8

I = 1 A

Hence, the current that passes through a 4Ω resistor is 1A. Since 4Ω and Rp are connected in series, the same current flows through them.

Potential Difference across 4Ω resistor

⇒ V = I × R

⇒ V = 1 × 4

V = 4V

The Dissipated Power in a 4Ω Resistor

⇒ P = I2R

⇒ P = 1× 4

P = 4 W

Difference, if any, in Ammeter Readings

Both A1 and A2 demonstrate the same reading due to the fact that current remains same in series combination.


Related Questions

  1. Three Incandescent Bulbs (Each 100 W) Are Attached In Series. In Another Circuit, Three More Bulbs Of Same Wattage Are Attached Parallelly To An Equal Source.
  2. Two Identical Resistors With Resistances 15 Ohm Are Connected In Series And Parallel To A Battery Of 6 V. Calculate Ratio Of Power Consumed.
  3. For The Resistor Combination, Find The Equivalent Resistance Between M and N.
  4. A Circuit Consists Of A Battery Of 3 Cells (2 V Each), A Combination Of Three Resistors, 10 Ohm, 20 Ohm And 30 Ohm, Attached Parallelly, With Plug Key And Ammeter (In Series).
  5. In An Arrangement Of Resistances, Find Effective Resistance Between Points A and B.
  6. What Is Effective Resistance?
  7. Find The Highest And Lowest Total Resistance Of A Combination Of Four Coils With Resistances 4 Ohms, 8 Ohms, 12 Ohms, 24 Ohms.
  8. What is Null Voltage?
  9. X and Y, which are two resistors, with resistances of 2 Ω and 3 Ω respectively are first connected in parallel and then in series. In both cases, the voltage that is supplied is 5 V. (i) Illustrate a circuit diagram to show the combination of resistors. (ii) Calculate the amount of voltage across 3 Ω resistor in the series combination of resistors.
  10. Draw An Electric Circuit With A Cell, Key, Ammeter, A Resistor (Series) Of 2 Ohm With a Combination Of Two Resistors (4 Ohm Each) In Parallel And A Voltmeter Across Parallel Combination.

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CBSE CLASS XII Related Questions

  • 1.
    Draw a circuit diagram of a full-wave rectifier using p-n junction diodes. Explain its working and show the input-output waveforms.


      • 2.
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          • 3.
            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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            • 4.
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                • 5.
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                    • 6.
                      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.

                        CBSE CLASS XII Previous Year Papers

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