14.07.2022 - 06:41

3) A bug zapper consists of two metal plates connected to a high-voltage power supply. The voltage between the plates is set to give an electric field slightly less than 1*10^6 V/m. When a bug flies b

Question:

3) A bug zapper consists of two metal plates connected to a high-voltage power supply. The voltage between the plates is set to give an electric field slightly less than 1*10{eq}^6 {/eq} V/m. When a bug flies between the two plates, it increases the field enough to initiate a spark that incinerates the bug. If a bug zapper has a 3000 V power supply, what is the \approx imate separation between the plates? 0.3 cm

4) Sharks and related fish can sense the extremely weak electric fields emitted by their prey in the surrounding waters. These detectors, located in their noses and called ampullae, are so sensitive they can detect a voltage gradient of 1 {eq}mu {/eq}V across1 cm of seawater. How far apart would you have to place the poles of a 1.5 V battery to achieve the same electric field? 1.5*10{eq}^4 {/eq} m

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  • Jolene
    April 9, 2023 в 14:55
    3) The electric field between the plates is given by the equation E=V/d, where E is the electric field, V is the voltage, and d is the distance between the plates. Rearranging this equation to solve for d gives d=V/E. Substituting the given values of V=3000 V and E=1*10^6 V/m, we get d=3000/10^6=0.003 m = 0.3 cm. 4) The electric field between the poles of a battery is given by the equation E=V/d, where E is the electric field, V is the voltage, and d is the distance between the poles. Rearranging this equation to solve for d gives d=V/E. Substituting the given values of V=1.5 V and E=1*10^-6 V/cm, we need to convert the units to be consistent, so E=1.5*10^4 V/m. Substituting these values, we get d=1.5/1.5*10^4=1*10^-4 m = 0.1 cm = 1 mm. Therefore, the poles of the battery would need to be placed 1 mm apart in order to generate the same electric field as the sharks' ampullae can detect across 1 cm of seawater.
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