{"id":3019,"date":"2024-08-26T11:02:29","date_gmt":"2024-08-26T11:02:29","guid":{"rendered":"https:\/\/workhouse.sweetdishy.com\/?p=3019"},"modified":"2024-08-26T11:02:30","modified_gmt":"2024-08-26T11:02:30","slug":"gain-and-bandwidth-2","status":"publish","type":"post","link":"https:\/\/workhouse.sweetdishy.com\/index.php\/2024\/08\/26\/gain-and-bandwidth-2\/","title":{"rendered":"Gain and Bandwidth"},"content":{"rendered":"\n

It is important to note that, since the product of gain and bandwidth is a constant for any particular operational amplifier. Hence, an increase in gain can only be achieved at the expense of bandwidth, and vice versa.<\/p>\n\n\n\n

Figure 11.5\u00a0shows the relationship between voltage gain and bandwidth for a typical operational amplifier (note that the axes use logarithmic, rather than linear scales). The open-loop voltage gain (i.e., that obtained with no feedback applied) is 100,000 (or 100\u00a0dB) and the bandwidth obtained in this condition is a mere 10\u00a0Hz. The effect of applying increasing amounts of negative feedback (and consequently reducing the gain to a more manageable amount) is that the bandwidth increases in direct proportion.<\/p>\n\n\n\n

\"image\"\/<\/figure>\n\n\n\n

Figure 11.5<\/strong> Frequency response curves for an operational amplifier<\/p>\n\n\n\n

The frequency response curves in\u00a0Figure 11.5\u00a0show the effect on the bandwidth of making the closed-loop gains equal to 10,000, 1,000, 100, and 10.\u00a0Table 11.3\u00a0summarizes these results. You should also note that the (gain\u00d7bandwidth) product for this amplifier is 1\u00d7106<\/sup>\u00a0Hz (i.e., 1\u00a0MHz).<\/p>\n\n\n\n

Table 11.3<\/p>\n\n\n\n

Corresponding values of voltage gain and bandwidth for an operational amplifier with a gain\u00d7bandwidth product of 1\u00d7106<\/sup><\/p>\n\n\n\n

Voltage gain (Av)<\/td>Bandwidth<\/td><\/tr><\/thead>
1<\/td>DC to 1 MHz<\/td><\/tr>
10<\/td>DC to 100 kHz<\/td><\/tr>
100<\/td>DC to 10 kHz<\/td><\/tr>
1,000<\/td>DC to 1 kHz<\/td><\/tr>
10,000<\/td>DC to 100 Hz<\/td><\/tr>
100,000<\/td>DC to 10 Hz<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

We can determine the bandwidth of the amplifier when the closed-loop voltage gain is set to 46 dB by constructing a line and noting the intercept point on the response curve. This shows that the bandwidth will be 10 kHz. Note that, for this operational amplifier, the (gain\u00d7bandwidth) product is 2\u00d7106<\/sup> Hz (or 2 MHz).<\/p>\n","protected":false},"excerpt":{"rendered":"

It is important to note that, since the product of gain and bandwidth is a constant for any particular operational amplifier. Hence, an increase in gain can only be achieved at the expense of bandwidth, and vice versa. Figure 11.5\u00a0shows the relationship between voltage gain and bandwidth for a typical operational amplifier (note that the […]<\/p>\n","protected":false},"author":1,"featured_media":2999,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[418],"tags":[],"class_list":["post-3019","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-analog-electronics"],"jetpack_featured_media_url":"https:\/\/workhouse.sweetdishy.com\/wp-content\/uploads\/2024\/08\/46fd8efd55d94fd5a706b43a18b89341-1.jpg","_links":{"self":[{"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/posts\/3019","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/comments?post=3019"}],"version-history":[{"count":1,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/posts\/3019\/revisions"}],"predecessor-version":[{"id":3020,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/posts\/3019\/revisions\/3020"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/media\/2999"}],"wp:attachment":[{"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/media?parent=3019"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/categories?post=3019"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/tags?post=3019"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}