Compare the power consumed in the 2 Ohm resistor in each two different circuits.

Jasmine Grover

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Ques. Compare the power used in the 2 ohms resistor in each of the following circuits:
(i) a 6 V battery in series with 1 ohm and 2 ohms resistor, and
(ii) a 4V battery in parallel with 12 ohms and 2 ohms resistors.

Solution:

In order to compare the power that is used in the two combinations, we have:

Potential difference: V1 = 6V, Resistance values, R1 = 1 Ohm, and R2 = 2 Ohm
Potential difference: V2 = 4V, Resistance values, R3 = 12 Ohm, and R4 = 2 Ohm

(i) 6V battery (series combination) with 1 Ohm and 2 Ohms Resistors

As per question, the given values are:

The potential difference of the given battery = 6 V
Resistors connected in Series = 1 Ohm and 2 Ohm

The formula for equivalent resistance in the given series combination is calculated as:

R_eq=R₁+R₂

Here, R₁= 1 Ohm, R₂= 2 Ohm

The equivalent resistance will be,

R = 1 + 2 = 3 Ohm

Now, as per Ohm’s law,

V = IR

Here, I is the current through the circuit

Thus, I = 6/3

⇒ I = 2 A

6V battery in series with 1 and 2 ohm resistors

This is the flow of current via each component of the circuit since there is no division of current in series combination circuits. Therefore, the flow of current through the 2 Ohm resistor equals 2 A.

Power can be expressed by, P= I²R

Thus, P = 2²× 2

⇒ P = 8 W

Thus, the total power consumed by the two resistors will be 8 Watts.

(ii) 4V Battery Parallelly Connected with 12 Ohm and 2 Ohm Resistors

As per question, the given values are:

The potential difference of the given battery, = 4 V
Resistors connected in Parallel = 12 Ohm and 2 Ohm

Note: The voltage across each component in a parallelly connected circuit remains the same. Therefore, the voltage across the 2 Ohm resistor is going to be 4V.
The power used in the 2-ohm resistor is expressed by: P = V²/R

⇒ P = 4²/2

⇒ P = 8 W

Thus, the power consumed by a 2 Ohm resistor in both cases is 8 W.

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Compare the power used in the 2 Ohm resistor in each two different circuits.

Ques. Compare the power used in the 2 ohms resistor in each of the following circuits:
(i) a 6 V battery in series with 1 ohm and 2 ohms resistor, and
(ii) a 4V battery in parallel with 12 ohms and 2 ohms resistors.

Solution:

(i) 6V battery (series combination) with 1 Ohm and 2 Ohms Resistors

(ii) 4V Battery Parallelly Connected with 12 Ohm and 2 Ohm Resistors

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CBSE CLASS XII Related Questions

1.
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:

2.
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?

3.
In a region, the electric potential varies as \(V = 10 - 50x\), where \(V\) is in volts and \(x\) is in meters. The electric field in the region is

4.
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) $\sqrt{3}$.

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A current of \(4.0\,\text{A}\) flows through a wire of length \(1\,\text{m}\) and cross-sectional area \(1.0\,\text{mm}^2\), when a potential difference of \(2\,\text{V}\) is applied across its ends. Calculate the resistivity of the material of the wire.

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An electron is revolving around a proton in a circular orbit of radius $r$. Using classical physics, prove that the ratio of value of the angular momentum and the value of magnetic moment of electron revolving in the orbit is a constant.

Similar Physics Concepts

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Compare the power used in the 2 Ohm resistor in each two different circuits.

Ques. Compare the power used in the 2 ohms resistor in each of the following circuits: (i) a 6 V battery in series with 1 ohm and 2 ohms resistor, and (ii) a 4V battery in parallel with 12 ohms and 2 ohms resistors.

Solution:

(i) 6V battery (series combination) with 1 Ohm and 2 Ohms Resistors

(ii) 4V Battery Parallelly Connected with 12 Ohm and 2 Ohm Resistors

Related Questions

CBSE CLASS XII Related Questions

1.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:

2.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?

3.In a region, the electric potential varies as \(V = 10 - 50x\), where \(V\) is in volts and \(x\) is in meters. The electric field in the region is

4.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) $\sqrt{3}$.

5.A current of \(4.0\,\text{A}\) flows through a wire of length \(1\,\text{m}\) and cross-sectional area \(1.0\,\text{mm}^2\), when a potential difference of \(2\,\text{V}\) is applied across its ends. Calculate the resistivity of the material of the wire.

6.An electron is revolving around a proton in a circular orbit of radius $r$. Using classical physics, prove that the ratio of value of the angular momentum and the value of magnetic moment of electron revolving in the orbit is a constant.

Similar Physics Concepts

Comments

SUBSCRIBE TO OUR NEWS LETTER

Ques. Compare the power used in the 2 ohms resistor in each of the following circuits:
(i) a 6 V battery in series with 1 ohm and 2 ohms resistor, and
(ii) a 4V battery in parallel with 12 ohms and 2 ohms resistors.

1.
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:

2.
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?

3.
In a region, the electric potential varies as \(V = 10 - 50x\), where \(V\) is in volts and \(x\) is in meters. The electric field in the region is

4.
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) $\sqrt{3}$.

5.
A current of \(4.0\,\text{A}\) flows through a wire of length \(1\,\text{m}\) and cross-sectional area \(1.0\,\text{mm}^2\), when a potential difference of \(2\,\text{V}\) is applied across its ends. Calculate the resistivity of the material of the wire.

6.
An electron is revolving around a proton in a circular orbit of radius $r$. Using classical physics, prove that the ratio of value of the angular momentum and the value of magnetic moment of electron revolving in the orbit is a constant.