A parallel-plate capacitor with capacitance C 0 stores charge of magnitude Q 0 on plates of area A 0 separated by distance d 0 . The potential difference across the plates is Δ V 0 . If the capacitor is attached to a battery and the charge is doubled to 2 Q 0 , what are the ratios (a) C new / C 0 and (b) ΔV new /Δ V 0 ? A second capacitor is identical to the first capacitor except the plate area is doubled to 2 A 0 . If given a charge of Q 0 , what are the ratios (c) C new / C 0 and (d) Δ V new /Δ V 0 ? A third capacitor is identical to the first capacitor, except the distance between the plates is doubled to 2 d 0 . If the third capacitor is then given a charge of Q 0 , what are the ratios (e) C new / C 0 and (f) Δ V new /Δ V 0 ?
A parallel-plate capacitor with capacitance C 0 stores charge of magnitude Q 0 on plates of area A 0 separated by distance d 0 . The potential difference across the plates is Δ V 0 . If the capacitor is attached to a battery and the charge is doubled to 2 Q 0 , what are the ratios (a) C new / C 0 and (b) ΔV new /Δ V 0 ? A second capacitor is identical to the first capacitor except the plate area is doubled to 2 A 0 . If given a charge of Q 0 , what are the ratios (c) C new / C 0 and (d) Δ V new /Δ V 0 ? A third capacitor is identical to the first capacitor, except the distance between the plates is doubled to 2 d 0 . If the third capacitor is then given a charge of Q 0 , what are the ratios (e) C new / C 0 and (f) Δ V new /Δ V 0 ?
Solution Summary: The author explains that the capacitance depends on the area and the distance of separation of the plates.
A parallel-plate capacitor with capacitance C0 stores charge of magnitude Q0 on plates of area A0 separated by distance d0. The potential difference across the plates is ΔV0. If the capacitor is attached to a battery and the charge is doubled to 2Q0, what are the ratios (a) Cnew/C0 and (b) ΔVnew/ΔV0? A second capacitor is identical to the first capacitor except the plate area is doubled to 2A0. If given a charge of Q0, what are the ratios (c) Cnew/C0 and (d) ΔVnew/ΔV0? A third capacitor is identical to the first capacitor, except the distance between the plates is doubled to 2d0. If the third capacitor is then given a charge of Q0, what are the ratios (e) Cnew/C0 and (f) ΔVnew/ΔV0?
How can you tell which vowel is being produced here ( “ee,” “ah,” or “oo”)? Also, how would you be able to tell for the other vowels?
You want to fabricate a soft microfluidic chip like the one below. How would you go about
fabricating this chip knowing that you are targeting a channel with a square cross-sectional
profile of 200 μm by 200 μm. What materials and steps would you use and why? Disregard the
process to form the inlet and outlet.
Square Cross Section
1. What are the key steps involved in the fabrication of a semiconductor device.
2. You are hired by a chip manufacturing company, and you are asked to prepare a silicon wafer
with the pattern below. Describe the process you would use.
High Aspect
Ratio
Trenches
Undoped Si Wafer
P-doped Si
3. You would like to deposit material within a high aspect ratio trench. What approach would you
use and why?
4. A person is setting up a small clean room space to carry out an outreach activity to educate high
school students about patterning using photolithography. They obtained a positive photoresist, a
used spin coater, a high energy light lamp for exposure and ordered a plastic transparency mask
with a pattern on it to reduce cost. Upon trying this set up multiple times they find that the full
resist gets developed, and they are unable to transfer the pattern onto the resist. Help them
troubleshoot and find out why pattern of transfer has not been successful.
5. You are given a composite…
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