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ETO ETO Exam papers 📅 Feb 2023

Exam Question

(a) With the aid of delta and star connection diagrams, state the basic equation from which the delta-star and star-delta conversion equation can be derived. (6)

(b) Three batteries A, B, and C have their negative terminals connected together. Between the positive terminals of A and B there is a resistor of 0.5 ohm and between B and C there is a resistor of 0.3 ohm.

Specifications of the three batteries are given below:

Battery A 105 V, Internal resistance 0.25 ohm

Battery B 100 V, Internal resistance 0.2 ohm

Battery C 95 V, Internal resistance 0.25 ohm

Determine the current values in the two resistors and the power dissipated by them.

Exam question diagram

Reference Answer

(b)
Applying Kirchhoff's law in loops 1 and 2, we get:
$$105V=0.25I_1+0.5I_1+0.2\:\left(I_1+I_2\right)+100V$$
$$0.25I_1+0.5I_1+0.2\left(I_1-I_2\right)=\left(105-100\right)V$$

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