Answer to Question #169796 in Physics for len

Question

2. What is the total effective resistance in the circuit?

3. What is the I in the circuit connected to a 24 V battery ?

4. What is the potential difference across 4 Ω resistors?

5. What is the potential difference across 6 Ω resistors?

Answer 1

2. The total effective resistance $R_e$ is the sum of all resistances (for series connection) or inverse sum of inverse resistances (for parallel connection)

3. The common current will be

$$I=V/R_e$$

4. The potential difference across the 4Ohm resistor is

$$V_4=I_4R_4=4I_4$$

If the connection is series,

$$V_4=IR_4=VR_4/R_e=96R_e$$

5. Likewise:

$$V_6=I_6R_6=6I_6$$

In case of series connection:

$$V_6=IR_6=VR_6/R_e=144/R_e$$