Find equivalent resistance and current
Answers
Answer:
the equivalent resistance through the circuit is.. 12ohm
and current passes through the circuit is 1A
Answer :
1. R₂ and R₃ are in series :
→ R₂₃ = R₂ + R₃
→ R₂₃ = 8 + 4
→ R₂₃ = 12Ω
2. R₂₃ and R₄ are in parallel :
→ 1/R₂₃₄ = 1/R₂₃ + 1/R₄
→ 1/R₂₃₄ = 1/12 + 1/12
→ 1/R₂₃₄ = 2/12
→ R₂₃₄ = 6Ω
3. R₂₃₄ and R₁ are in series :
→ R = R₂₃₄ + R₁
→ R = 6 + 6
→ R = 12Ω (Equivalent resistance)
Net current flow in circuit :
⭆ V = I × R
⭆ I = V/R
⭆ I = 12/12
⭆ I = 1 A
Voltage drop across R₁ :
➠ V = I × R₁
➠ V = 1 × 6
➠ V = 6 volt
Therefore potential difference across parallel connection will be 12-6 = 6V
Current flow in first branch :
Equivalent resistance of first branch is 12Ω
⭆ 6 = I₁ × R₂₃
⭆ 6 = I₁ × 12
⭆ I₁ = 0.5 A
Current flow in second branch :
⭆ I = I₁ + I₂
⭆ 1 = 0.5 + I₂
⭆ I₂ = 0.5 A