Question

When three resistors are connected in series with a battery of voltage V and voltage
drop across resistors is V1, V2 and V3, Which of the relation is correct ?

(a) V=V1=V2=V3
(b) V=V1+V2+V3
(c) V1+V2+V3=3V
(d) V> V1+V2+V3

Answer 1

Answer:

(b) $V = V_1 + V_2 + V_3$

Explanation:

when three resistors are connected in series the equivalent resistance R will be

$R = R_1 + R_2 + R_3\\R = V/I\\V/I = V_1 /I + V_2 /I+ V_3/I\\\\V = V_1 + V_2 + V_3$

Answer 2

Answer:

The correct answer is  (b) V = V₁ +V₂ +V₃

Step-by-step explanation:

Given that  

Three resistors are connected in series with a battery of voltage V

drop across resistor is V₁, V₂,  and V₃

Resistor

• Resistor is a two terminal electrical component which regulates current flow, when if there is any high or low voltage of current flow  within a circuit
• The resistance in a circuit (R) is inversely proportional to the current (I) in the circuit

                    ⇒ R ∝ $\frac{1}{I}$    ⇒  R = $\frac{V}{I}$  ⇒  V = IR  [ where V is voltage ]

Resistors series combination  

• In series combination of Resistors, Resistors are connected one after another in a sequence manner, here the current flow in each resistor is same
• The equivalent resistance in circuit is equals to sum of the all resistors  

• From given data 3 resistors are connected in a series combination                  

        let R₁ , R₂ and  R₃ be the connected resistors

     ⇒   the equivalent Resistance R =  R₁ + R₂ + R₃

                                ⇒   R = $\frac{V_{1} }{I} + \frac{V_{2} }{I} + \frac{V_{3} }{I}$  

                                ⇒   R = $\frac{V_{1} + V_{2} + V _{3} }{I}$  

                                ⇒   IR = V₁ + V₂ + V₃

                                ⇒   V = V₁ + V₂ + V₃  

Therefore the correct relation from options  is (b)   V =V₁ + V₂ +V₃