27. Resistors & DC Circuits

If every resistor below has resistance R, what is the equivalent resistance of the combination, in terms of R?

Draw a circuit diagram for the circuit of FIGURE EX28.2.

Three resistors with resistances $R=2\Omega$, $R=4\Omega$, and $R=6\Omega$ are connected in series to a $12V$ battery. What is the current through the $4\Omega$ resistor?

Power Rating of a Resistor. The power rating of a resistor is the maximum power the resistor can safely dissipate without too great a rise in temperature and hence damage to the resistor. A 100.0 Ω and a 150.0 Ω resistor, both rated at 2.00 W, are connected in series across a variable potential difference. What is the greatest this potential difference can be without overheating either resistor, and what is the rate of heat generated in each resistor under these conditions?

Three resistors with resistances $R_1$ = $2$ $\Omega$, $R_2$ = $4$ $\Omega$, and $R_3$ = $6$ $\Omega$ are connected in series. What is the equivalent resistance of the resistor network?

Given four circuits, each containing three identical resistors of resistance $R$, which arrangement results in the smallest equivalent resistance?

What is the equivalent resistance between points 1 and 2 in FIGURE EX28.27?

If three resistors with resistances $R_1$, $R_2$, and $R_3$ are connected in series, what is the equivalent resistance of the group?

When two resistors are connected in series, which physical quantity must be the same for both resistors?

A triangular array of resistors is shown in Fig. E26.5. What current will this array draw from a 35.0 V battery having negligible internal resistance if we connect it across ac?

At time t = 0, the switch in the circuit shown in Fig. 30–30 is closed. After a sufficiently long time, steady currents I₁, I₂, and I₃ flow through resistors R₁, R₂, and R₃, respectively. Determine these three currents.

Light Bulbs in Series and in Parallel. Two light bulbs have constant resistances of 400Ω and 800Ω. The two light bulbs are now connected in parallel across the 120 V line. Find the power dissipated in each bulb.