In an electric circuit ,three resistors R1,R2,R3 are connected in series.such that R2=R3. If V1 ,V2, V3 are the voltages across R1, R2 and R3 respectively,then
V1=V2
V2=V3
V1=V3
V1=V2=V3
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The circuit is called a series circuit. R eq V 1 I V (a) (b) V R 1 R 2 R 3 V = I R eq R 4 V 2 V 3 V 4 I The voltage drops across the resistances are V1,V2 ,V3 .
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In an electric circuit, the voltage across each resistor in a series circuit is proportional to the resistance of that resistor. So, if R2 = R3, then V2 = V3.
- In a series circuit, the same current flows through each resistor. The voltage across each resistor is proportional to the resistance of that resistor and the total current flowing through it.
- The voltage drop across each resistor can be calculated using Ohm's law, which states that the voltage across a resistor is equal to the resistance of that resistor multiplied by the current flowing through it: V = IR , Where V is the voltage, I is the current, and R is the resistance.
- Since the same current flows through each resistor in a series circuit, the total voltage drop across all resistors is equal to the sum of the voltage drops across each resistor. So, the voltage across R1, V1, can be calculated as follows:
V1 = IR1
The voltage across R2, V2, can be calculated as follows:
V2 = IR2
And the voltage across R3, V3, can be calculated as follows:
V3 = IR3
Since R2 = R3, then V2 = V3.
- So, in a series circuit with three resistors where R2 = R3, the voltage across each resistor will be proportional to its resistance and the total current flowing through it. The voltage drop across each resistor can be calculated using Ohm's law, and since the same current flows through each resistor, the total voltage drop across all resistors will equal the sum of the voltage drops across each resistor.
- In this case, V2 = V3, but V1 may not necessarily be equal to either V2 or V3, unless all the resistors have the same resistance.
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