Question
Two spheres of radii and
joined by a fine wire are raised to a potential V. Let the surface charge densities at these two spheres be
and
respectively. Then the ratio
has a value
![R subscript 1 over R subscript 2](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABsAAAAsCAYAAACUq8NAAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAbSkFbcgAAARRJREFUeNpjYCAMfgDxfyB+CsQngXgbEIsy0ACoAPEFNLFWIO6ihWUBQLwUTSwciOfTwrJ6IC5BE2sE4gJaWLYKiP2Q+HxAfAOIxWlh2S0glgRiFiD2AOJzQBxKC4uYgPgPNCXCsC0DjYA5EO9H4lvSKhWCQCSWVLcbiOWxqFUD4los2YRoMAmI09DEQL5biEXtYqja/+Ratg6IvbCI7wViLRx6yLbsHRBzYBG3hBZZVLWMHDBq2dCx7D8WPAqGGfhPQzwKRgF1wGjze7T5Pdr8HvjmN8zXv4D4KDS70LT5DQv2LGi80qX5DStx6NL8tgfig/QoQyWhcaZEa4tA/bMtUAtp7qNt0NKF5gBkkcZAtsqwAgDyXWz6wJkz0gAAAJB0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWZyYWM+PG1zdWI+PG1pPlI8L21pPjxtbj4xPC9tbj48L21zdWI+PG1zdWI+PG1pPlI8L21pPjxtbj4yPC9tbj48L21zdWI+PC9tZnJhYz48L21hdGg+85X2AQAAAABJRU5ErkJggg==)
![R subscript 2 over R subscript 1](data:image/png;base64,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)
- 1
![open parentheses R subscript 2 over R subscript 1 close parentheses squared](data:image/png;base64,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)
The correct answer is: ![R subscript 1 over R subscript 2](data:image/png;base64,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)
Related Questions to study
A large insulated sphere of radius r charged with Q units of electricity is placed in contact with a small insulated uncharged sphere of radius r and in then separated. The charge on smaller sphere will now be
A large insulated sphere of radius r charged with Q units of electricity is placed in contact with a small insulated uncharged sphere of radius r and in then separated. The charge on smaller sphere will now be
The magnitude of electric field in the annual region of a charged cylindrical capacitor
The magnitude of electric field in the annual region of a charged cylindrical capacitor
The equivalent capacitance across
Fig is
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/484681/1/881119/Picture3.png)
The equivalent capacitance across
Fig is
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/484681/1/881119/Picture3.png)
What is the potential difference across 2
F capacitor in the circuit shown?
![](data:image/png;base64,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)
What is the potential difference across 2
F capacitor in the circuit shown?
![](data:image/png;base64,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)
The maximum field intensity on the axis of a uniformly charged ring of charge q and radius R will be
The maximum field intensity on the axis of a uniformly charged ring of charge q and radius R will be