Question

81. A network of five identical resistors,
each of value 10 Q is made as shown
in the figure. Equivalent resistance
between points A and B is:
(a) 100ohm
(c) 20ohm
(b) 50ohm
(d) 10ohm
​

Answer 1

Answer:

(d) 10ohm

Explanation:

• Equipment that opposes the usual passage of electric current across a wire is called a resistor. The overall effective resistance power that may replace all of the individual resistors in a circuit with numerous resistors is known as equivalent resistance.
• When the current flowing through each resistor is the same, the resistors are said to be in series. These resistors are linked in series from head to tail. The total of the various resistance values determines the circuit's overall resistance.
• When the terminals of resistors are connected to the same two nodes, resistors are said to be in parallel. At two terminals, parallel resistors have the same voltage.

SOLUTION:

• By the given circuit, no current passes through the middle most resistor, so cancel it.
• Then, the rest of the circuit is in both series and parallel connection
• R_series=10+10=20 ohm
• R_parallel for 20 ohm equivalent resistors is 10 ohm
• Hence, 10 ohm is the answer

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