please help in question no. 11
Answers
Given :
Three resistances are connected as shown in the figure.
Voltage of battery = 3V
To Find :
- Equivalent resistance
- Current
Solution :
❖ It's clear from the given diagram that, two equal resistances of 2Ω are connected in parallel. So their equivalent resistance will be
➙ 1/r = 1/2 + 1/2
➙ 1/r = 2/2
➙ r = 1 Ω
After solving this, three resistances of 1Ω come in series Hence net equivalent resistance of the circuit will be
➙ R = r + 1 + 1
➙ R = 1 + 2
➙ R = 3 Ω [Equivalent resistance]
♦ As per ohm's law current passing through a conductor is directly proportional to the applied potential difference. (at constant temperature)
Mathematically, V ∝ I
Putting proportionality constant,
» V = I × R
- V denotes voltage
- I denotes current
- R denotes resistance
By substituting the values;
➠ V = I × R
➠ 3 = I × 3
➠ I = 3/3
➠ I = 1 A
Three resistances are connected as shown in the figure.
Voltage of battery = 3V
- Equivalent resistance of Current
- Current of circuit
From the given diagram that, two equal resistances of 2Ω are connected in parallel.
Hence their equivalent resistance will be
→ 1/r = 1/2 + 1/2
→ 1/r = 2/2
→ r = 1 Ω
Hence net equivalent resistance of the circuit will be
→ R = r + 1 + 1
→ R = 1 + 2
→ R = 3 Ω
According to ohm's law V ∝ I which means current passing through a conductor is directly proportional to the applied potential difference.
V = I × R
Here,
V = voltage
I = current
R = resistance
Substituting the values,
⇒ V = I × R
⇒ 3 = I × 3
⇒ I = 3/3