Properties of Bridge Circuits MCQ Quiz in বাংলা - Objective Question with Answer for Properties of Bridge Circuits - বিনামূল্যে ডাউনলোড করুন [PDF]
Last updated on Apr 1, 2025
Latest Properties of Bridge Circuits MCQ Objective Questions
Top Properties of Bridge Circuits MCQ Objective Questions
Properties of Bridge Circuits Question 1:
In the AC bridge, shown in the figure R = 103 Ω and C = 10-7 F. If the bridge is balanced at a frequency ω0, the value of ω0 in rad/s is-
Answer (Detailed Solution Below) 10000
Properties of Bridge Circuits Question 1 Detailed Solution
At balance condition,
Z1 Z4 = Z2 Z3
Properties of Bridge Circuits Question 2:
For the bridge shown Z1 = 200 ∠20° Ω, Z2 = 150 ∠30° Ω and Z3 = 300 ∠-30° Ω. What is the value of Z4 so that the bridge is balanced?
Answer (Detailed Solution Below)
Properties of Bridge Circuits Question 2 Detailed Solution
At bridge balance condition,
Z1 Z4 = Z2 Z3
⇒ 200 ∠20° Z4 = 150 ∠30° 300 ∠-30°
⇒ Z4 = 225 ∠-20° Ω
Properties of Bridge Circuits Question 3:
The impedance of a basic ac bridge arms are ZAB = 300 Ω, ZBC = 150 Ω ∠60°, ZCD = 400 Ω/30° ZDA = unknown if ω = 1000 radian/s, the components of the unknown arms has the resistance 692.82 in
Answer (Detailed Solution Below)
Properties of Bridge Circuits Question 3 Detailed Solution
For bridge balance:
ZAB × ZCD = ZBC × ZAD
300 × 400 ∠30° = ZAD × 150 ∠60°
800 ∠30° = ZAD ∠60°
ZAD = 692.82 – j 400
Capacitive reactance
Properties of Bridge Circuits Question 4:
In the AC bridge shown in figure R = 105 Ω and C = 10-8 F. If the bridge is balanced at a frequency ωo, the value of ω0 in rad/sec is _______.
Answer (Detailed Solution Below) 1000
Properties of Bridge Circuits Question 4 Detailed Solution
(1 + jωRC)2 = jωR2C
1 + 2jωRC – ω2R2C2 = jωR2C
Equate real part
1 – ω2R2C2 = 0
Now put value of R and C
Properties of Bridge Circuits Question 5:
The a.c. bridge in figure remains balance if z comprises of
Answer (Detailed Solution Below)
Properties of Bridge Circuits Question 5 Detailed Solution
At bridge balance condition,
It is equivalent to a resistor and a capacitor are connected in parallel.
Properties of Bridge Circuits Question 6:
Find the excitation frequency (in Hz) in the Ac Bridge shown in figure under balance condition. The circuit component values are given as
R1 = 100 kΩ,
R3 = R4 = 100 kΩ,
C1 = 2 C2 = 10 nF
Answer (Detailed Solution Below) 158 - 160
Properties of Bridge Circuits Question 6 Detailed Solution
under bridge balance condition,
Given that,
By comparing real parts on both sides,
By comparing imaginary parts on both sides,
= 159.15 Hz
Properties of Bridge Circuits Question 7:
The bridge circuit in figure is balanced. The magnitude of current I is
Answer (Detailed Solution Below)
Properties of Bridge Circuits Question 7 Detailed Solution
At bridge balance condition,
Properties of Bridge Circuits Question 8:
The impedances of a basic ac bridge arms are
ZAB = 250 Ω
ZBC = 100 ∠60° Ω
ZCD = 400 ∠30° Ω
ZDA = Unknown
If ω = 1000 radian/sec, the components of the unknown arm has the resistance 500√3 Ω is
Answer (Detailed Solution Below)
Properties of Bridge Circuits Question 8 Detailed Solution
At bridge balance condition,
Negative sign of reactance value indicates that, it is capacitive reactance.
Hence ZDA is a resistance of 500√3 Ω in series with a capacitor of 2 μF
Properties of Bridge Circuits Question 9:
If the given circuit is a balanced bridge, what should be in place of ‘X’ ?
Answer (Detailed Solution Below)
Properties of Bridge Circuits Question 9 Detailed Solution
For balanced bridge, Z1Z4 = Z2Z3
X = resistance and capacitance in series.
Properties of Bridge Circuits Question 10:
For the given circuit, if the current through branch BD is zero what is the value of battery current I in mA upto two decimal places?
Answer (Detailed Solution Below) 42.8 - 43.0
Properties of Bridge Circuits Question 10 Detailed Solution
If current through BD is zero, then the bridge is balanced.
For balanced bridge, R × 75 = 150 × 100
R = 200 Ω
Equivalent resistance of the circuit, Req = 350 || 175
= 116.67 Ω