Answer:
The current is reduced to half of its original value.
Explanation:
- Assuming we can apply Ohm's Law to the circuit, as the internal resistance and the load resistor are in series, we can find the current I₁ as follows:
![I_{1} = \frac{V}{R_{int} +r_{L} }](https://tex.z-dn.net/?f=I_%7B1%7D%20%3D%20%5Cfrac%7BV%7D%7BR_%7Bint%7D%20%2Br_%7BL%7D%20%7D)
- where Rint = r and RL = r
- Replacing these values in I₁, we have:
![I_{1} = \frac{V}{R_{int} +r_{L} } = \frac{V}{2*r} (1)](https://tex.z-dn.net/?f=I_%7B1%7D%20%3D%20%5Cfrac%7BV%7D%7BR_%7Bint%7D%20%2Br_%7BL%7D%20%7D%20%3D%20%5Cfrac%7BV%7D%7B2%2Ar%7D%20%281%29)
- When the battery ages, if the internal resistance triples, the new current can be found using Ohm's Law again:
![I_{2} = \frac{V}{R_{int} +r_{L} } = \frac{V}{(3*r) +r} = \frac{V}{4*r} (2)](https://tex.z-dn.net/?f=I_%7B2%7D%20%3D%20%5Cfrac%7BV%7D%7BR_%7Bint%7D%20%2Br_%7BL%7D%20%7D%20%3D%20%5Cfrac%7BV%7D%7B%283%2Ar%29%20%2Br%7D%20%3D%20%5Cfrac%7BV%7D%7B4%2Ar%7D%20%20%282%29)
- We can find the relationship between I₂, and I₁, dividing both sides, as follows:
![\frac{I_{2} }{I_{1} } = \frac{V}{4*r} *\frac{2*r}{V} = \frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7BI_%7B2%7D%20%7D%7BI_%7B1%7D%20%7D%20%3D%20%5Cfrac%7BV%7D%7B4%2Ar%7D%20%2A%5Cfrac%7B2%2Ar%7D%7BV%7D%20%3D%20%5Cfrac%7B1%7D%7B2%7D)
- The current when the internal resistance triples, is half of the original value, when the internal resistance was r, equal to the resistance of the load.
Answer:
The correct option is (a).
Explanation:
We know that, the E is inversely proportional to the distance as follows :
![E=\dfrac{k}{d^2}](https://tex.z-dn.net/?f=E%3D%5Cdfrac%7Bk%7D%7Bd%5E2%7D)
We can write it as follows :
![\dfrac{E_1}{E_2}=(\dfrac{d_2}{d_1})^2](https://tex.z-dn.net/?f=%5Cdfrac%7BE_1%7D%7BE_2%7D%3D%28%5Cdfrac%7Bd_2%7D%7Bd_1%7D%29%5E2)
Put all the values,
![\dfrac{1000}{2000}=(\dfrac{d_2}{d})^2\\\\\sqrt{\dfrac{1000}{2000}}=(\dfrac{d_2}{D})\\\\0.7071=\dfrac{d_2}{d}\\\\d_1=0.7071D\\\\d_1=\dfrac{D}{\sqrt2}](https://tex.z-dn.net/?f=%5Cdfrac%7B1000%7D%7B2000%7D%3D%28%5Cdfrac%7Bd_2%7D%7Bd%7D%29%5E2%5C%5C%5C%5C%5Csqrt%7B%5Cdfrac%7B1000%7D%7B2000%7D%7D%3D%28%5Cdfrac%7Bd_2%7D%7BD%7D%29%5C%5C%5C%5C0.7071%3D%5Cdfrac%7Bd_2%7D%7Bd%7D%5C%5C%5C%5Cd_1%3D0.7071D%5C%5C%5C%5Cd_1%3D%5Cdfrac%7BD%7D%7B%5Csqrt2%7D)
So, the correct option is (a).
If you just type "<span>What is the chemical formula for mercury(I) nitrate?" into google you get the answer but HG(NO3)2 is the correct one.
sorry no one helped you in time hope you passed anyway</span>
Answer:
The force applied is 32 N
Explanation:
F = ma
F = 8 × 4
F = 32 N
<span>the speed of something in a given direction. so i think none of these</span>