Test yourself on Potential Divider Equation

• Two resistors, 𝑅 1

  4   Ω R 1 ​

  =4Ω and 𝑅 2

  6   Ω R 2 ​

  =6Ω, are connected in series across a 10 V supply. What is the potential difference across 𝑅 1 R 1 ​

  ?

• A potential divider consists of 𝑅 1

  2   k Ω R 1 ​

  =2kΩ and 𝑅 2

  8   k Ω R 2 ​

  =8kΩ connected across 20 V. What is the potential difference across 𝑅 2 R 2 ​

  ?

• The ratio of voltages across two resistors in series is 𝑉 1 : 𝑉 2

  3 : 5 V 1 ​

  :V 2 ​

  =3:5. What is the ratio of the resistances 𝑅 1 : 𝑅 2 R 1 ​

  :R 2 ​

  ?

• Manoela connects two resistors in series as a potential divider. The total supply voltage is 12 V. If 𝑉 1

  9   V V 1 ​

  =9V across 𝑅 1 R 1 ​

  , what is the ratio 𝑅 1 : 𝑅 2 R 1 ​

  :R 2 ​

  ?

• A potential divider has 𝑅 1

  5   Ω R 1 ​

  =5Ω and 𝑅 2

  15   Ω R 2 ​

  =15Ω. If the supply voltage is 12 V, what is the potential difference across 𝑅 2 R 2 ​

  ?