Question

If resistors 5 ohm and 7 ohms are connected in series,find the current in the circuit,if 24V potential difference is applied across it.Also find the potential difference across each resistor.

Answer 1

Answer:

2A current in circuit

Explanation:

potential difference across 5ohm capacitor=2*5=10V

potential difference across 7ohm capacitor=7*2=14V

Answer 2

Answer:

$\bigstar{\bold{Current(I)=2\:A}}$

$\bigstar{\bold{P.D\:across\:first\:resistor=10\:V}}$

$\bigstar{\bold{P.D\:across\:second\:resistor=14\:V}}$

Explanation:

$\Large{\underline{\underline{\bf{Given:}}}}$

• Resistor (R₁) = 5 Ω
• Resistor ( R₂) = 7 Ω
• Resistors are connected in series
• Potential difference (V) = 24 V

$\Large{\underline{\underline{\bf{To\:Find:}}}}$

• Current (I)
• Potential difference across each resistor

$\Large{\underline{\underline{\bf{Solution:}}}}$

Current (I) in the circuit:

→ First we need to find the total resistance in the circuit

→ Since the resistors are connected in series, total resistance is given by

  R = R₁ + R₂

  R = 5 + 7

  R = 12 Ω

→ By Ohm's law current in a circuit is give by the equation,

 I = V/R

→ Substituting the given datas we get,

  I = 24 /12 = 2 A

$\boxed{\bold{Current(I)=2\:A}}$

Potential difference across each resistor:

→ Potential difference across first resistor (R₁)

→ By Ohm's law,

  V = R I

  V = 5 × 2 = 10 V

$\boxed{\bold{P.D\:across\:first\:resistor=10\:V}}$

→ Potential difference across second resistor (R₂)

  V = RI

  V = 7 × 2 = 14 V

$\boxed{\bold{P.D\:across\:second\:resistor=14\:V}}$

$\Large{\underline{\underline{\bf{Notes:}}}}$

→ Total resistance in a circuit if resistors are connected in series is given by

  R = R₁ + R₂ + R₃+.......

→ Total resistance in a circuit if resitors are connected in parallel is given by

  $\dfrac{1}{R}=\dfrac{1}{R_1} +\dfrac{1}{R_2} +\dfrac{1}{R_3}.....$