I. The electric circuit shown is series and parallel resistor connection type.
II. The ratio of current in the 8-ohm resistors to the current in the 4-ohm resistors is 0.46.
III. The current in 8 ohm is less than the current in 4 ohm resistor.
IV. The ratio of current in the 3-ohm resistors and 8-ohm resistor to the current in the 10-ohm resistors is 1.
V. The current in 3 ohm and 8 ohm resistor is same.
What is current?
The current is the total amount of charge flowing in the circuit per unit time.
3 ohm and 8 ohm resistor are in series which in turn parallel with the 10 ohm resistor.
The equivalent resistance of 3, 8 and 10 ohm resistor is in series with 9 an 4 ohm resistors.
I. The circuit consists of resistances connected in parallel and series also.
II. The equivalent resistance of 3, 8 and 10 ohm resistor is [(3+8)x10/(3+8+10)] = 5.23 ohms.
Total equivalent resistance is 9 + 5.23 +4 = 18.23 ohms.
The Current in the circuit is
I= V/Req = 12/18.23
I = 0.65 A
The Current in the 8 ohm resistor is I₈ = 0.30 A
The Current in the 4 ohm resistor is I₄ =0.65 A
Their ratio I₈/I₄ = 0.46
Thus, the ratio of current in the 8-ohm resistors to the current in the 4-ohm resistors is 0.46.
III. The current in 8 ohm is less than the current in 4 ohm resistor.
IV. Current in the 8 ohm resistor is I₈ = 0.30 A
Current in the 3 ohm resistor is I₃ = 0.30 A
Their ratio I₃/ I₈ = 1
Thus, the ratio of current in the 3-ohm resistors and 8-ohm resistor to the current in the 10-ohm resistors is 1.
V. The current in 3 ohm and 8 ohm resistor is same.
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