Question #6035

What is the strength of the electric field between two charged parallel plates that are 0.25 cm apart and have a potential of 9.0 V?

Expert's answer

We use the equation

<img src="data:image/png;base64,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" alt="">

where E is the electric field strength, V is the potential (or potential difference) and d is the distance.

So

<img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAOwAAAAuCAIAAACkkWL8AAADT0lEQVR4nO2c0ZWEIAxFrYuCqIdqaIZi3A9dIUhABlQe5n45OHsQuQuB6CyrIICzvH0BgtCKSCzAIxIL8IjEAjwisQCPSCzAIxIL8IBIbPWyoYxb13V1RpHPA3Nc6rIs2p7PAzdtFEAk3vs6kMAZlZZiKMhVWp02E7NpAwEjsTOKGGA1QD9HFx23gSmGaNpIwEi8Wh0MT84ohNk2oWfKT8SmjQSkxDj9TCMILk6AbNpA4EjsjNp6Gqufj3VbZnEH2rRhwJPYath+ZqKJGZr2KlgSK2NwFz38pgN8014GR+J9YgbtZ2dUZucXumnvAyYxYj9vhmYDBdSmDQKQxIKQpk7i01JbJsEJCXo5MX/sZ+MMY0IGrjxZV4tGtSMxnfislgz/XJD0TJwnTwb23gi6cuXKY7hkfAWVEh87msdHGYjnhSYc04E7KQ2E5MrzdfxGpcR+6JUE/+xQaRnZuJTktVTlqZbfaIiJ01WHTx5GPBN5vH4Bo1F9Q/wfUA2VMb7/996PHDw+cuWpupq7pUriIJjok1y6en+5L23cfQH52gekpUsCrF5IdEAfKs3LelHiLg5XSdynRgEHHxREFh4qNIYTfTbIaySO9iLSg/Hrs/nrFzAaDTfEOxYtzQ6Jr+1IcK52SvJUSEx3JmR3bUpCrfjXUoIPwbYb+T5XHtJrar8scSLPIbsTt2PN4wMF/04glwTx5dRIrpzU1EMizLTzfqMf/S8q5p9qE1dJJ+K5f+bZrtsTI5gSr4+HM8X8U13iKpxISR7sO4vnjq/Dokr88DsQxfxTS+KKs3ta9jmoWzuhJPY/yaC1ejKYKG4YNe00xcNyoXO3u6CMO+6Htis5/ho4EocGdHhopIri1n3Lnn/8rnM2It5mIGfUorU+dmrJ8fcsRpH4FGg+OufeJ3H0RNWp1vTJ8Ex0PH0skgBEYjrL5nr+Fu4KJwrScbFF2P7w+KMOI0lczP/cW322/l8SV2XlLvxiUHz8wWACSuIg/bMo4x59wT2df4oPaxJX9FHW/7Zkn0n3XybfiXz+4DPeIBL71MC+rHl+HZ7IP53H2auJq3P+M/hfKGQ6wvH8tIM3d3qEAUZiQeAQiQV4RGIBHpFYgEckFuARiQV4RGIBnj+WOSVawpe5hwAAAABJRU5ErkJggg==" alt="">

this equation can ONLY be used for parallel plate

<img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFAAAAAyCAIAAABET8urAAABSElEQVRoge2YQQ6EIAxFPVcP1PP0NFyGw3QWGARnzNhvMs5H3o7EqI9CW1j8YSx3/8CvmcKjM4VHZwqPzhQenSk8OlP4n0m6FMSyu3s26cZnoBJelTXVcTbpxt8hE84mXTiTxnTphD1pE9FsEljMBWJhRJdPOJsUYUyXVzgppMspLGbhXFVhE15rMapLKozrEgpfBRGuHV7DlUn/KViE+3WVNNLM3gwkXIthHdIEGBPeQhrvZe/m8h4+9K1nt3fu3ACAcLOg4X7n0zu/zs7RE4WTX4oL709oZMSFdzn5MMijLOk+Q1NVJHcPC3/oOR6Qpf+FddPEZpxZ2JEtxS0MXHsQCm+30aoSTiFswu1FdFKgwnEJ9/fuUE2kEu6bvN2Z7SR0wm18kR6ATrhEuCQusRw+v1AJb52eWIbaDjrh60zh0ZnCo/M44Rfh/1I7iUFd7QAAAABJRU5ErkJggg==" alt="">

where E is the electric field strength, V is the potential (or potential difference) and d is the distance.

So

<img src="data:image/png;base64,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" alt="">

this equation can ONLY be used for parallel plate

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