Advertisements
Advertisements
प्रश्न
Find the circuit in the three resistors shown in the figure.
Advertisements
उत्तर
Applying KVL in loop 1, we get:-
\[2 + \left( i_1 - i_2 \right) \times 1 - 2 = 0\]
\[ \Rightarrow i_1 = i_2\]
Applying KVL in loop 2, we get:-
\[2 + \left( i_2 - i_3 \right) \times 1 - 2 - \left( i_1 - i_2 \right) \times 1 = 0\]
\[ \Rightarrow i_2 - i_3 - i_1 + i_2 = 0\]
\[ i_1 = i_2 \]
\[ \Rightarrow i_2 - i_3 - i_2 + i_2 = 0\]
\[ \Rightarrow i_2 = i_3\]
Applying KVL in loop 3, we get:-
\[2 + i_3 - 2 - \left( i_2 - i_3 \right) = 0\]
\[ \Rightarrow i_3 = 0\]
\[ i_1 = i_2 = i_3 \]
\[ \therefore i_1 = i_2 = i_3 = 0\]
APPEARS IN
संबंधित प्रश्न
Kirchhoff's voltage law and current law are respectively in accordance with the conservation of .................................. .
- charge and momentum
- charge and energy
- energy and charge
- energy and momentum
Kirchhoff's junction law is equivalent to .............................
(a) conservation of energy.
(b) conservation of charge
(c) conservation of electric potential
(d) conservation of electric flux
State the two Kirchhoff’s rules used in electric networks. How are there rules justified?
Given n resistors each of resistance R, how will you combine them to get the (i) maximum (ii) minimum effective resistance? What is the ratio of the maximum to minimum resistance?
Determine the current drawn from a 12 V supply with internal resistance 0.5 Ω by the infinite network shown in the figure. Each resistor has 1 Ω resistance.
State Kirchhoff's rules and explain on what basis they are justified.
Given the resistances of 1 Ω, 2 Ω, 3 Ω, how will be combine them to get an equivalent resistance of (11/5) Ω?
State Kirchhoff's rules for an electric network. Using Kirchhoff's rules, obtain the balance condition in terms of the resistances of four arms of Wheatstone bridge.
Using Kirchhoff’s rules determine the value of unknown resistance R in the circuit so that no current flows through 4 Ω resistance. Also find the potential difference between A and D.
Calculate the value of the resistance R in the circuit shown in the figure so that the current in the circuit is 0.2 A. What would b the potential difference between points B and E?
Calculate the value of the resistance R in the circuit shown in the figure so that the current in the circuit is 0.2 A. What would b the potential difference between points A and B?
In the given circuit, assuming point A to be at zero potential, use Kirchhoff’s rules to determine the potential at point B.
Consider the following two statements:-
(A) Kirchhoff's junction law follows from conservation of charge.
(B) Kirchhoff's loop law follows from conservative nature of electric field.
Find the equivalent resistances of the networks shown in the figure between the points a and b.
An infinite ladder is constructed with 1 Ω and 2 Ω resistors, as shown in the figure. (a) Find the effective resistance between the points A and B. (b) Find the current that passes through the 2 Ω resistor nearest to the battery.
On which conservation principle is Kirchoff's Second Law of electrical networks based?
In the circuit shown in the figure below, E1 and E2 are two cells having emfs 2 V and 3 V respectively, and negligible internal resistance. Applying Kirchhoff’s laws of electrical networks, find the values of currents l1 and I2.
Solve the following question.
Using Kirchhoff’s rules, calculate the current through the 40 Ω and 20 Ω resistors in the following circuit.
State Kirchhoff’s current rule.
State Kirchhoff ’s voltage rule.
State the principle of potentiometer.
Obtain the condition for bridge balance in Wheatstone’s bridge.
Explain the determination of unknown resistance using meter bridge.
Lightning is a very good example of a natural current. In typical lightning, there is 109 J energy transfer across the potential difference of 5 × 107 V during a time interval of 0.2 s. Using this information, estimate the following quantities:
- the total amount of charge transferred between cloud and ground
- the current in the lightning bolt
- the power delivered in 0.2 s.
A potentiometer wire has a length of 4 m and resistance of 20 Ω. It is connected in series with resistance of 2980 Ω and a cell of emf 4 V. Calculate the potential along the wire.
In a potentiometer arrangement, a cell of emf 1.25 V gives a balance point at 35 cm length of the wire. If the cell is replaced by another cell and the balance point shifts to 63 cm, what is the emf of the second cell?
The instrument for the accurate measurement of the e.m.f of a cell is ______.
Figure shows current in a part of an electrical circuit. Then current I is ______.
The Kirchhoff's second law (ΣiR = ΣE), where the symbols have their usual meanings, is based on ______.
The e.m.f of The battery in a thermocouple is doubled. The rate of heat generated at one of the junction will.
Three resistors having resistances r1, r2 and r3 are connected as shown in the given circuit. The ratio `i_3/i_1` of currents in terms of resistances used in the circuit is:
Kirchhoff’s junction rule is a reflection of ______.
- conservation of current density vector.
- conservation of charge.
- the fact that the momentum with which a charged particle approaches a junction is unchanged (as a vector) as the charged particle leaves the junction.
- the fact that there is no accumulation of charges at a junction.
What is the advantage of using thick metallic strips to join wires in a potentiometer?
The value of current in the 6Ω resistance is ______.
