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QJEEM19Ph9881: JEE Main 2019 Physics - Class 12 JEEM19Ph9881 Solution: In the given circuit the the internal resistance of the 18 V…

In the given circuit the the internal resistance of the 18 V cell is negligible. If R1 = 400 Ω, R3 = 100 Ω and R4 = 500 Ω and the reading of an ideal voltmeter across R4 is 5V, then the value of R2 will be :

JEE Main 2019 (Online) 9th January Evening Slot Physics - Current Electricity Question 269 English

Multiple Choice Options

  • A 300 Ω
  • B 450 Ω
  • C 550 Ω
  • D 230 Ω

Step-by-Step Verified Solution

Voltage accross resistance R4 = 5 V

∴   IR4 = 5 V

⇒   500 × I = 5

⇒   I = 1100 A

∴   Voltage across resistor R3 = 1100(100) = 1 A

∴   Total drop in resistance R3 and R4 = 5 + 1 = 6V

So, voltage accross R2 resistance is also 6V as R3, R4 and R2 are in parallel

∴   Voltage accross R1 resistor R1 resistor = 18 − 6 = 12 V

∴   Current through R1 resistor = 12400 = 3100 A

∴   Current through R2 resistor

= 3100−1100

= 2100 A

∴   (2100) R2 = 6

⇒   R2 = 300 Ω

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