In the electrical circuit (ABC) as shown in the figure given below, the resistances R1, R2 and R3 are same and equal to 30 ohm .If a source of voltage 2V is connected across one arm, the current drawn from the voltage source is

In the described circuit ABC, three resistors (R1, R2, R3) of 30 ̦ each form a triangle (delta) configuration. When a 2V voltage source is connected across one arm (e.g., across R1), the circuit splits into two parallel paths. The first path consists of R1 (30 ̦) alone. The second path consists of R2 and R3 connected in series, as they are joined end-to-end between the same two terminals [c2]. According to series resistance rules, the resistance of this second path is Rs = R2 + R3 = 30 + 30 = 60 ̦ [c1]. The equivalent resistance (Req) of the entire circuit is the parallel combination of 30 ̦ and 60 ̦: 1/Req = 1/30 + 1/60 = 3/60, giving Req = 20 ̦ [t5]. Applying Ohm's law (I = V/R), the total current drawn is I = 2V / 20 ̦ = 1/10 A [t2].

Sources

1. [1] Science , class X (NCERT 2025 ed.) > Chapter 11: Electricity > Activity 11.5 > p. 184
2. [2] Science , class X (NCERT 2025 ed.) > Chapter 11: Electricity > 11.6 RESISTANCE OF A SYSTEM OF RESISTORS > p. 181
3. [3] https://www.grc.nasa.gov/www/k-12/airplane/tunwheat.html