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This book is dedicated to modeling and application of magnetoelectric (ME) effect in layered and bulk composites based on magnetostrictive and piezoelectric materials. Currently, a huge literature is available on theoretical and experimental studies of ME composites but much less on the development and research of instruments based on them. It is important to note that so far only investigation of ME magnetic field sensors has been cited in the existing literature. However, these studies have finally resulted in the creation of low-frequency ME magnetic field sensors with parameters substantially exceeding the characteristics of Hall sensors. The book presents the authors’ many years of experience, gained while studying ME composites and creating device models based on their studies. It describes low-frequency ME devices, such as current and position sensors and energy harvesters, and microwave ME devices, such as antennas, attenuators, filters, gyrators, and phase shifters.