Question

The resistances and battery are connected as shown in figure.
Equivalent resistance connected across battery is​

Answer 1

Answer:

SEE THE THE ABOVE FIGURE FOR ANSWER.

Answer 2

Answer:

The equivalent resistance across the battery is 60 ohms.

Explanation:

Concept,

• If the resistances R and r are in series then the equivalent resistance is R + r.
• If the resistances R and r are in parallel then the equivalent resistance is Rr/(R + r).

Now consider the resistances across 'AD' and 'DC'.

Step(1): The equivalent resistances across AD(24 ohms) and DC(16 ohms) is 24 + 16 = 40 ohms.

Step(2): The resultant resistance across the resistance of 60 ohms and the resultant resistance of 40 ohms from step (1) across AC is (60)(40)/(60 + 40) = 24 ohms.

Step(3): The resistances across BC (26 ohms) and resultant resistance (24 ohms) from step (2) are in series. So the effective resistance is 24 + 26 = 50 ohms.

Step(4): Now, 200 ohms and 50 ohms are in parallel. Hence, the resistance across AB is (200)(50)/(200 + 50) =  40 ohms.

Step(5): The final equivalent resistance across the battery is the effective resistance of 20 ohms and 40 ohms which are in series. So, 40 + 20 = 60 ohms.

Therefore, the equivalent resistance across the battery is 60 ohms.

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