Sign in
Please select an account to continue using cracku.in
↓ →
Join Our JEE Preparation Group
Prep with like-minded aspirants; Get access to free daily tests and study material.
In the figure shown below, a resistance of 150.4 $$\Omega$$ is connected in series to an ammeter A of resistance 240 $$\Omega$$. A shunt resistance of 10 $$\Omega$$ is connected in parallel with the ammeter. The reading of the ammeter is _________ mA.
Correct Answer: 5
Given:
ammeter resistance = 240 Ω
shunt = 10 Ω (in parallel with ammeter)
series resistor = 150.4 Ω
battery = 20 V
step 1: equivalent of ammeter branch
ammeter ∥ shunt:
R₁ = (240 × 10) / (240 + 10)
= 2400 / 250
= 9.6 Ω
step 2: total circuit resistance
$$R_{total}=150.4+9.6=160Ω$$
step 3: total current
$$I_{total}=20/160=0.125A$$
step 4: current division in parallel branch
current through ammeter:
$$I_A=I_{total}\times\frac{shunt}{(ammeter+shunt)}$$
= 0.125 × (10 / 250)
= 0.125 × 0.04
= 0.005 A
=5 mA
Create a FREE account and get:
Predict your JEE Main percentile, rank & performance in seconds
Educational materials for JEE preparation
Ask our AI anything
AI can make mistakes. Please verify important information.
AI can make mistakes. Please verify important information.