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/R_P = 1/8 + 1/R

⇒ 1/R_P = 1/4

⇒ R_P = 4Ω

The Total Resistance in the given Circuit

As per the question, the following can be shown:

⇒ R = 4Ω + R_P

⇒ 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 R_p 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 = 1²× 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

Do Check Out:

Topics of Resistors in Series and Combination
Potentiometer	Derivation of Drift Velocity	Ampere
Cells, emf, Internal Resistance	Unit of Specific Resistance	Power of Alternating Current
Combination of Resistors	Cells in Series and in Parallel	Ohm’s law
Voltage	Internal resistance formula	Resistivity Temperature Dependence
Types of Current	Difference between air conditioning and refrigeration	Permittivity And Permeability
Types of Resistors	Wheatstone Bridge	Power transformers
Difference between kva and kw	Difference between RTD and thermocouple	Difference between AC and DC
Ohm’s Law and its Limitations	Relation between kva and kw	Conductivity
Static Electricity	Resistance Formula	Resistor Colour Codes
Current density	Current Electricity MCQ	Resistivity formula
Current density formula	Relation between resistance and length	Unit of Current
Electric Dipole	Difference Between Primary Cell and Secondary Cell	Electromotive Force
Current Electricity	Electrical Formula	Difference between emf and voltage
Carbon Resistor	Differences Between Acceleration and Velocity	Relation between power and resistance
Uses of Resistor	Difference between earth and neutral	Drift Velocity

CBSE CLASS XII Related Questions

1.
Assertion (A) : All atoms have a net magnetic moment. Reason (R) : A current loop does not always behave as a magnetic dipole.

Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).
Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
Assertion (A) is true, but Reason (R) is false.
Both Assertion (A) and Reason (R) are false.

View Solution

2.
Write any two features of nuclear forces.

View Solution

3.
If both the number of protons and the neutrons are conserved in each nuclear reaction, in what way is mass converted into energy (or vice versa) in a nuclear reaction? Explain.

View Solution

4.
The figure shows three point charges kept at the vertices of triangle ABC. The net electric field, due to this system of charges, at the midpoint M of base BC will be:

\( \frac{q}{4 \pi \epsilon_0 l^2} \) pointing along MA
\( \frac{q}{\pi \epsilon_0 l^2} \) pointing along AM
\( \frac{q}{2 \pi \epsilon_0 l^2} \) pointing along AM
Zero

View Solution

5.
Four independent waves are expressed as \[ (i)\; y_1=A_1\sin\omega t, \] \[ (ii)\; y_2=A_2\sin 2\omega t, \] \[ (iii)\; y_3=A_3\cos\omega t, \] \[ (iv)\; y_4=A_4\sin\left(\omega t+\frac{\pi}{3}\right) \] The interference between two of these waves is possible in

(i) and (iii) only
(iii) and (iv) only
(i), (iii) and (iv) only
All of them

View Solution

6.
What is displacement current (\( i_d \))? Considering the case of charging of a capacitor, show that \( i_d = \varepsilon_0 \frac{d\Phi_E}{dt} \). What is the value of \( i_d \) for a conductor across which a constant voltage is applied?

View Solution

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

Effective Resistance of 8-ohm Resistors Combination