With same emf of 10 𝑉, a combination of two batteries with different internal resistances of 20 ohm and 5 ohm, is attached to parallel combination of 30 ohm and 𝑅 ohm.

As per the given question, the following can be represented:

The emf of two batteries = 10 V
Internal resistances of Two batteries = 20 Ω and 5 Ω
Parallel combination = 30 Ω and R Ω.
Voltage Difference across the battery of internal resistance 20 Ω = zero

Parallel Combination of Resistors

Parallel Combination of Resistors

Now, in order to determine the value of R:

E₁ = E – ir

E₂ = E – ir

= 10 – i20 = 0

= 10 – 0.5 × 5

i = 0.5 A

= 7.5 V

Thus,

E_net = E₁ + E₂ = 7.5 V

⇒ i = i₁ + i₂

⇒ 0.5 = (7.5/x) + (7.5/30)

⇒ R = 30 Ω

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With same emf of 10 V, a combination of two batteries with different internal resistances of 20 ohm and 5 ohm, is attached to parallel combination of 30 ohm and R ohm. Find value of R.

Related Questions

CBSE CLASS XII Related Questions

1.
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.

2.
Derive an expression for the capacitance of a parallel plate capacitor of plate area A and plate separation d with air present between the plates.

3.
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?

Similar Physics Concepts

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With same emf of 10 V, a combination of two batteries with different internal resistances of 20 ohm and 5 ohm, is attached to parallel combination of 30 ohm and R ohm. Find value of R.

Related Questions

CBSE CLASS XII Related Questions

1. 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.

2.Derive an expression for the capacitance of a parallel plate capacitor of plate area A and plate separation d with air present between the plates.

3.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?

Similar Physics Concepts

Comments

SUBSCRIBE TO OUR NEWS LETTER

1.
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.

2.
Derive an expression for the capacitance of a parallel plate capacitor of plate area A and plate separation d with air present between the plates.

3.
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?