Question 2.46: Find the resistance between terminals A and B in the electri......
Find the resistance between terminals A and B in the electric circuit of Fig. 2.153 using Δ–Y transformation.
Step-by-Step
We convert the delta forming resistances between the terminals A, B, and C into an equivalent star. The resistances between the terminals A, B, and C and the star point N are R_{AN},\ R_{CN},\ and\ R_{DN}. These are calculated as
\begin{aligned} & \mathrm{R}_{\mathrm{AN}}=\frac{20 \times 30}{100}=6 \Omega \\ & \mathrm{R}_{\mathrm{CN}}=\frac{30 \times 50}{100}=15 \Omega \\ & \mathrm{R}_{\mathrm{DN}}=\frac{20 \times 50}{100}=10 \Omega \end{aligned}After transformation of the delta into star, the circuit becomes as shown in Fig. 2.154.
Total resistance, \mathrm{R}_{\mathrm{AB}}=6+\frac{60 \times 60}{120}
= 36 Ω
Related Answered Questions
Question: 2.54
Verified Answer:
When the capacitor is fully charged, no current wi...
Question: 2.53
Verified Answer:
R=5.45 \times 10^6 \Omega, \quad C=1 \times...
Question: 2.52
Verified Answer:
We have,
\begin{aligned} i & =I_0\left(...
Question: 2.51
Verified Answer:
For the rise in current
i=\frac{V}{R}\left(...
Question: 2.50
Verified Answer:
Applying KCL, we can write
8=I_1+I_2[/latex...
Question: 2.49
Verified Answer:
We have shown the current directions in the variou...
Question: 2.48
Verified Answer:
Let V_A\ and\ V_B be the potential ...
Question: 2.47
Verified Answer:
Let V_A\ and\ V_B be the potentials...
Question: 2.45
Verified Answer:
Let us change the resistances forming a delta acro...
Question: 2.44