Question

In the circuit shown, the resistances are given in ohms and the battery is assumed ideal with emf equal to 3.0 volts. The resistor that dissipates the most power is

• A. $R_1$
• B. $R_2$
• C. $R_3$
• D. $R_4$

Answer 1

The correct option is A $R_1$

Power is related to current and resistance by $P=I^{2}R$ . The resistor that has the most current would be $R_1$.

Since all the other resistor share a current that is split from the main current running from battery to $R_1$

Since $R_{eq}<R_1$ , the most power is thus dissipated through $R_1$

option A is correct.