Home › HSC (New South Wales) › Physics › Electrical Circuits › A single 9-V alkaline battery can deliver a char…
A single 9-V alkaline battery can deliver a charge of 565 mA h. Two of these batteries are connected one after the other to power a 32 ohm heating resistor at 18 V, drawing 0.56 A. About how long will this heater run before the batteries are exhausted?
A2.0 hours
B1.0 hour
C20 hours
D0.56 hours
Answer & Solution
Correct answer: A. 2.0 hours
1. Two batteries connected one after the other are stated to deliver a combined charge of 565 mA h + 565 mA h = 1130 mA h, or 1.130 A h.
2. The heater draws a steady current of I = 0.56 A.
3. Runtime is the total available charge divided by the current drawn: t = charge / I.
4. Substitute with consistent units: t = 1.130 A h / 0.56 A.
5. t is approximately 2.0 hours.
6. 1.0 hour would result from using only one battery's charge instead of the combined charge of both.
7. 20 hours would result from a tenfold arithmetic slip in the current or charge value.
_Source: OpenStax Physics (CC BY 4.0), Ch 19 "Electrical Circuits", section Boot Warmers_
Related questions
Three 10 ohm resistors are connected in parallel across a 9.0 V battery. What power is disIn that same six-resistor circuit, the middle branch dissipates 2.4 W, the left branch disSix 30 ohm resistors are wired into three branches connected in parallel across a 12 V batYou want 10 W of heat output from a resistor heater powered by two 9-V batteries connectedHousehold outlets in many countries supply 120 V AC. What does it mean that this 120 V figAn older incandescent light bulb is rated at 60 W and operates at 120 V. What current flowA 25-W light bulb and a 60-W light bulb both operate at the same voltage. Which bulb has tWhich statement is true regarding capacitors and electric power dissipation in a circuit?